What is the Greatest Common Factor of 39128 and 39136?

Greatest common factor (GCF) of 39128 and 39136 is 8.

GCF(39128,39136) = 8

We will now calculate the prime factors of 39128 and 39136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39128 and 39136.

How to find the GCF of 39128 and 39136?

We will first find the prime factorization of 39128 and 39136. After we will calculate the factors of 39128 and 39136 and find the biggest common factor number .

Step-1: Prime Factorization of 39128

Prime factors of 39128 are 2, 67, 73. Prime factorization of 39128 in exponential form is:

39128 = 2³ × 67¹ × 73¹

Step-2: Prime Factorization of 39136

Prime factors of 39136 are 2, 1223. Prime factorization of 39136 in exponential form is:

39136 = 2⁵ × 1223¹

Step-3: Factors of 39128

List of positive integer factors of 39128 that divides 39128 without a remainder.

1, 2, 4, 8, 67, 73, 134, 146, 268, 292, 536, 584, 4891, 9782, 19564

Step-4: Factors of 39136

List of positive integer factors of 39136 that divides 39128 without a remainder.

1, 2, 4, 8, 16, 32, 1223, 2446, 4892, 9784, 19568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39128 and 39136. The biggest common factor number is the GCF number.
So the greatest common factor 39128 and 39136 is 8.

Also check out the Least Common Multiple of 39128 and 39136