Find the GCF for each set of numbers.
28,42,56
3,5
4,5,6
1) The factors of 28 are: 1, 2, 4, 7, 14, 28
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
Then the greatest common factor is 14.
2) The factors of 3 are: 1, 3
The factors of 5 are: 1, 5
Then the greatest common factor is 1.
3)The factors of 4 are: 1, 2, 4
The factors of 5 are: 1, 5
The factors of 6 are: 1, 2, 3, 6
Then the greatest common factor is 1.
28,42,56
Factors of 56: 2, 4, 7, 8
Which of those also are factors of 28 and 42?
Thank you,both of you!
3)The factors of 4 are: 1, 2, 4
The factors of 5 are: 1, 5
The factors of 6 are: 1, 2, 3, 6
Then the greatest common factor is ?.
To find the Greatest Common Factor (GCF) of a set of numbers, you can use a method called factorization. Here's how you can find the GCF for each set of numbers:
1. For the set of numbers: 28, 42, 56
- Start by listing the prime factorization of each number:
- Prime factorization of 28: 2^2 * 7
- Prime factorization of 42: 2 * 3 * 7
- Prime factorization of 56: 2^3 * 7
- Look for the common factors in all the prime factorizations:
- The common factor is the multiplication of the common prime numbers raised to the lowest exponent:
- The common prime numbers are 2 and 7.
- The lowest exponent for both numbers is 1.
- Therefore, the GCF of 28, 42, and 56 is 2 * 7, which is equal to 14.
2. For the set of numbers: 3, 5
- There are no common factors other than 1.
- Since there are no common factors other than 1, the GCF of 3 and 5 is 1.
3. For the set of numbers: 4, 5, 6
- Start by listing the prime factorization of each number:
- Prime factorization of 4: 2^2
- Prime factorization of 5: 5
- Prime factorization of 6: 2 * 3
- Look for the common factors in all the prime factorizations:
- The common factor is the multiplication of the common prime numbers raised to the lowest exponent:
- The only common prime number in the prime factorizations is 2.
- The lowest exponent for the number 2 is 1.
- Therefore, the GCF of 4, 5, and 6 is 2.