What is the Greatest Common Factor of 34672 and 34688?

Greatest common factor (GCF) of 34672 and 34688 is 16.

GCF(34672,34688) = 16

We will now calculate the prime factors of 34672 and 34688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34672 and 34688.

How to find the GCF of 34672 and 34688?

We will first find the prime factorization of 34672 and 34688. After we will calculate the factors of 34672 and 34688 and find the biggest common factor number .

Step-1: Prime Factorization of 34672

Prime factors of 34672 are 2, 11, 197. Prime factorization of 34672 in exponential form is:

34672 = 2⁴ × 11¹ × 197¹

Step-2: Prime Factorization of 34688

Prime factors of 34688 are 2, 271. Prime factorization of 34688 in exponential form is:

34688 = 2⁷ × 271¹

Step-3: Factors of 34672

List of positive integer factors of 34672 that divides 34672 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 197, 394, 788, 1576, 2167, 3152, 4334, 8668, 17336

Step-4: Factors of 34688

List of positive integer factors of 34688 that divides 34672 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 271, 542, 1084, 2168, 4336, 8672, 17344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34672 and 34688. The biggest common factor number is the GCF number.
So the greatest common factor 34672 and 34688 is 16.

Also check out the Least Common Multiple of 34672 and 34688