What is the Greatest Common Factor of 34128 and 34137?

Greatest common factor (GCF) of 34128 and 34137 is 9.

GCF(34128,34137) = 9

We will now calculate the prime factors of 34128 and 34137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34128 and 34137.

How to find the GCF of 34128 and 34137?

We will first find the prime factorization of 34128 and 34137. After we will calculate the factors of 34128 and 34137 and find the biggest common factor number .

Step-1: Prime Factorization of 34128

Prime factors of 34128 are 2, 3, 79. Prime factorization of 34128 in exponential form is:

34128 = 2⁴ × 3³ × 79¹

Step-2: Prime Factorization of 34137

Prime factors of 34137 are 3, 3793. Prime factorization of 34137 in exponential form is:

34137 = 3² × 3793¹

Step-3: Factors of 34128

List of positive integer factors of 34128 that divides 34128 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 79, 108, 144, 158, 216, 237, 316, 432, 474, 632, 711, 948, 1264, 1422, 1896, 2133, 2844, 3792, 4266, 5688, 8532, 11376, 17064

Step-4: Factors of 34137

List of positive integer factors of 34137 that divides 34128 without a remainder.

1, 3, 9, 3793, 11379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34128 and 34137. The biggest common factor number is the GCF number.
So the greatest common factor 34128 and 34137 is 9.

Also check out the Least Common Multiple of 34128 and 34137