What is the Greatest Common Factor of 93648 and 93657?

Greatest common factor (GCF) of 93648 and 93657 is 3.

GCF(93648,93657) = 3

We will now calculate the prime factors of 93648 and 93657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93648 and 93657.

How to find the GCF of 93648 and 93657?

We will first find the prime factorization of 93648 and 93657. After we will calculate the factors of 93648 and 93657 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 93657

Prime factors of 93657 are 3, 31219. Prime factorization of 93657 in exponential form is:

93657 = 3¹ × 31219¹

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 93657

List of positive integer factors of 93657 that divides 93648 without a remainder.

1, 3, 31219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93648 and 93657. The biggest common factor number is the GCF number.
So the greatest common factor 93648 and 93657 is 3.

Also check out the Least Common Multiple of 93648 and 93657