What is the Greatest Common Factor of 93648 and 93656?

Greatest common factor (GCF) of 93648 and 93656 is 8.

GCF(93648,93656) = 8

We will now calculate the prime factors of 93648 and 93656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93648 and 93656.

How to find the GCF of 93648 and 93656?

We will first find the prime factorization of 93648 and 93656. After we will calculate the factors of 93648 and 93656 and find the biggest common factor number .

Step-1: Prime Factorization of 93648

Prime factors of 93648 are 2, 3, 1951. Prime factorization of 93648 in exponential form is:

93648 = 2⁴ × 3¹ × 1951¹

Step-2: Prime Factorization of 93656

Prime factors of 93656 are 2, 23, 509. Prime factorization of 93656 in exponential form is:

93656 = 2³ × 23¹ × 509¹

Step-3: Factors of 93648

List of positive integer factors of 93648 that divides 93648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1951, 3902, 5853, 7804, 11706, 15608, 23412, 31216, 46824

Step-4: Factors of 93656

List of positive integer factors of 93656 that divides 93648 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 509, 1018, 2036, 4072, 11707, 23414, 46828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93648 and 93656. The biggest common factor number is the GCF number.
So the greatest common factor 93648 and 93656 is 8.

Also check out the Least Common Multiple of 93648 and 93656