Find the greatest common factor.
10. 8, 24
11. 48, 32
12. 18, 45
13. 20, 30
14. 42, 60
15. 21. 63
16. 25, 75
17. 12, 20
18. 28. 42
19. 13, 21
20. 44, 52
21.41; 25
10. The greatest common factor of 8 and 24 is 8.
11. The greatest common factor of 48 and 32 is 16.
12. The greatest common factor of 18 and 45 is 9.
13. The greatest common factor of 20 and 30 is 10.
14. The greatest common factor of 42 and 60 is 6.
15. The greatest common factor of 21 and 63 is 21.
16. The greatest common factor of 25 and 75 is 25.
17. The greatest common factor of 12 and 20 is 4.
18. The greatest common factor of 28 and 42 is 14.
19. The greatest common factor of 13 and 21 is 1.
20. The greatest common factor of 44 and 52 is 4.
21. The greatest common factor of 41 and 25 is 1.
Find the greatest common factor.
22. 15, 45, 60
23. 24. 30, 90
24. 32, 72, 64
25. 42. 63, 28
26, 27, 75, 120
27. 24. 42, 54
28. 54, 81, 48
29. 24, 56, 48
22. The greatest common factor of 15, 45, and 60 is 15.
23. The greatest common factor of 24, 30, and 90 is 6.
24. The greatest common factor of 32, 72, and 64 is 8.
25. The greatest common factor of 42, 63, and 28 is 7.
26. The greatest common factor of 27, 75, and 120 is 3.
27. The greatest common factor of 24, 42, and 54 is 6.
28. The greatest common factor of 54, 81, and 48 is 3.
29. The greatest common factor of 24, 56, and 48 is 8.
To find the greatest common factor (GCF) of each set of numbers, we can factorize the numbers and find the common prime factors.
10. 8, 24:
Prime factors of 8: 2 x 2 x 2
Prime factors of 24: 2 x 2 x 2 x 3
The common prime factors are 2 x 2 x 2 = 8.
Therefore, GCF(8, 24) = 8.
11. 48, 32:
Prime factors of 48: 2 x 2 x 2 x 2 x 3
Prime factors of 32: 2 x 2 x 2 x 2
The common prime factors are 2 x 2 x 2 x 2 = 16.
Therefore, GCF(48, 32) = 16.
12. 18, 45:
Prime factors of 18: 2 x 3 x 3
Prime factors of 45: 3 x 3 x 5
The common prime factors are 3 x 3 = 9.
Therefore, GCF(18, 45) = 9.
13. 20, 30:
Prime factors of 20: 2 x 2 x 5
Prime factors of 30: 2 x 3 x 5
The common prime factors are 2 x 5 = 10.
Therefore, GCF(20, 30) = 10.
14. 42, 60:
Prime factors of 42: 2 x 3 x 7
Prime factors of 60: 2 x 2 x 3 x 5
The common prime factors are 2 x 3 = 6.
Therefore, GCF(42, 60) = 6.
15. 21, 63:
Prime factors of 21: 3 x 7
Prime factors of 63: 3 x 3 x 7
The common prime factors are 3 x 7 = 21.
Therefore, GCF(21, 63) = 21.
16. 25, 75:
Prime factors of 25: 5 x 5
Prime factors of 75: 3 x 5 x 5
The common prime factors are 5 x 5 = 25.
Therefore, GCF(25, 75) = 25.
17. 12, 20:
Prime factors of 12: 2 x 2 x 3
Prime factors of 20: 2 x 2 x 5
The common prime factors are 2 x 2 = 4.
Therefore, GCF(12, 20) = 4.
18. 28, 42:
Prime factors of 28: 2 x 2 x 7
Prime factors of 42: 2 x 3 x 7
The common prime factors are 2 x 7 = 14.
Therefore, GCF(28, 42) = 14.
19. 13, 21:
There are no common prime factors between 13 and 21.
Therefore, GCF(13, 21) = 1.
20. 44, 52:
Prime factors of 44: 2 x 2 x 11
Prime factors of 52: 2 x 2 x 13
The common prime factors are 2 x 2 = 4.
Therefore, GCF(44, 52) = 4.
21. 41, 25:
There are no common prime factors between 41 and 25.
Therefore, GCF(41, 25) = 1.