What is the Greatest Common Factor of 34128 and 34136?

Greatest common factor (GCF) of 34128 and 34136 is 8.

GCF(34128,34136) = 8

We will now calculate the prime factors of 34128 and 34136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34128 and 34136.

How to find the GCF of 34128 and 34136?

We will first find the prime factorization of 34128 and 34136. After we will calculate the factors of 34128 and 34136 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 34136

Prime factors of 34136 are 2, 17, 251. Prime factorization of 34136 in exponential form is:

34136 = 2³ × 17¹ × 251¹

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 34136

List of positive integer factors of 34136 that divides 34128 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 251, 502, 1004, 2008, 4267, 8534, 17068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34128 and 34136. The biggest common factor number is the GCF number.
So the greatest common factor 34128 and 34136 is 8.

Also check out the Least Common Multiple of 34128 and 34136