What would be the greatest commmon factor to 15, 34, and 55?
first, we list the factors of each number,,
15: 1, 3, 5, 15
34: 1, 2, 17, 34
55: 1, 5, 11, 55
since the only common factor among them is 1, the greatest common factor (GCF) of the numbers is 1.
hope this helps~ :)
To find the greatest common factor (GCF) of 15, 34, and 55, we can start by finding the prime factorization of each number and then identifying the common prime factors.
Let's find the prime factorization of each number:
Prime factorization of 15:
15 = 3 * 5
Prime factorization of 34:
34 = 2 * 17
Prime factorization of 55:
55 = 5 * 11
Now let's identify the common prime factors:
The common prime factors are 5.
Finally, to find the GCF, we multiply the common prime factors together:
GCF = 5
Therefore, the greatest common factor of 15, 34, and 55 is 5.
To find the greatest common factor (GCF) of 15, 34, and 55, we can use the method of prime factorization.
Step 1: Prime factorize each number individually.
- 15 can be factored as 3 * 5
- 34 can be factored as 2 * 17
- 55 can be factored as 5 * 11
Step 2: Identify the common prime factors.
The only prime factor that all three numbers share is 5.
Step 3: Determine the exponent of each common prime factor.
Since 5 is the only common prime factor, the exponent will be the smallest power of that prime factor in any of the numbers. In this case, the smallest exponent for 5 is 1.
Step 4: Calculate the GCF.
The GCF is found by multiplying the common prime factors with their respective exponents. In this case, GCF = 5^1 = 5.
Therefore, the greatest common factor (GCF) of 15, 34, and 55 is 5.