What is the Greatest Common Factor of 69128 and 69136?

Greatest common factor (GCF) of 69128 and 69136 is 8.

GCF(69128,69136) = 8

We will now calculate the prime factors of 69128 and 69136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69128 and 69136.

How to find the GCF of 69128 and 69136?

We will first find the prime factorization of 69128 and 69136. After we will calculate the factors of 69128 and 69136 and find the biggest common factor number .

Step-1: Prime Factorization of 69128

Prime factors of 69128 are 2, 8641. Prime factorization of 69128 in exponential form is:

69128 = 2³ × 8641¹

Step-2: Prime Factorization of 69136

Prime factors of 69136 are 2, 29, 149. Prime factorization of 69136 in exponential form is:

69136 = 2⁴ × 29¹ × 149¹

Step-3: Factors of 69128

List of positive integer factors of 69128 that divides 69128 without a remainder.

1, 2, 4, 8, 8641, 17282, 34564

Step-4: Factors of 69136

List of positive integer factors of 69136 that divides 69128 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 149, 232, 298, 464, 596, 1192, 2384, 4321, 8642, 17284, 34568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69128 and 69136. The biggest common factor number is the GCF number.
So the greatest common factor 69128 and 69136 is 8.

Also check out the Least Common Multiple of 69128 and 69136