What is the Greatest Common Factor of 69648 and 69656?

Greatest common factor (GCF) of 69648 and 69656 is 8.

GCF(69648,69656) = 8

We will now calculate the prime factors of 69648 and 69656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69648 and 69656.

How to find the GCF of 69648 and 69656?

We will first find the prime factorization of 69648 and 69656. After we will calculate the factors of 69648 and 69656 and find the biggest common factor number .

Step-1: Prime Factorization of 69648

Prime factors of 69648 are 2, 3, 1451. Prime factorization of 69648 in exponential form is:

69648 = 2⁴ × 3¹ × 1451¹

Step-2: Prime Factorization of 69656

Prime factors of 69656 are 2, 8707. Prime factorization of 69656 in exponential form is:

69656 = 2³ × 8707¹

Step-3: Factors of 69648

List of positive integer factors of 69648 that divides 69648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1451, 2902, 4353, 5804, 8706, 11608, 17412, 23216, 34824

Step-4: Factors of 69656

List of positive integer factors of 69656 that divides 69648 without a remainder.

1, 2, 4, 8, 8707, 17414, 34828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69648 and 69656. The biggest common factor number is the GCF number.
So the greatest common factor 69648 and 69656 is 8.

Also check out the Least Common Multiple of 69648 and 69656