What is the Greatest Common Factor of 34656 and 34670?

Greatest common factor (GCF) of 34656 and 34670 is 2.

GCF(34656,34670) = 2

We will now calculate the prime factors of 34656 and 34670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34656 and 34670.

How to find the GCF of 34656 and 34670?

We will first find the prime factorization of 34656 and 34670. After we will calculate the factors of 34656 and 34670 and find the biggest common factor number .

Step-1: Prime Factorization of 34656

Prime factors of 34656 are 2, 3, 19. Prime factorization of 34656 in exponential form is:

34656 = 2⁵ × 3¹ × 19²

Step-2: Prime Factorization of 34670

Prime factors of 34670 are 2, 5, 3467. Prime factorization of 34670 in exponential form is:

34670 = 2¹ × 5¹ × 3467¹

Step-3: Factors of 34656

List of positive integer factors of 34656 that divides 34656 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 361, 456, 608, 722, 912, 1083, 1444, 1824, 2166, 2888, 4332, 5776, 8664, 11552, 17328

Step-4: Factors of 34670

List of positive integer factors of 34670 that divides 34656 without a remainder.

1, 2, 5, 10, 3467, 6934, 17335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34656 and 34670. The biggest common factor number is the GCF number.
So the greatest common factor 34656 and 34670 is 2.

Also check out the Least Common Multiple of 34656 and 34670