What is the Greatest Common Factor of 83544 and 83548?

Greatest common factor (GCF) of 83544 and 83548 is 4.

GCF(83544,83548) = 4

We will now calculate the prime factors of 83544 and 83548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83544 and 83548.

How to find the GCF of 83544 and 83548?

We will first find the prime factorization of 83544 and 83548. After we will calculate the factors of 83544 and 83548 and find the biggest common factor number .

Step-1: Prime Factorization of 83544

Prime factors of 83544 are 2, 3, 59. Prime factorization of 83544 in exponential form is:

83544 = 2³ × 3¹ × 59²

Step-2: Prime Factorization of 83548

Prime factors of 83548 are 2, 20887. Prime factorization of 83548 in exponential form is:

83548 = 2² × 20887¹

Step-3: Factors of 83544

List of positive integer factors of 83544 that divides 83544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 59, 118, 177, 236, 354, 472, 708, 1416, 3481, 6962, 10443, 13924, 20886, 27848, 41772

Step-4: Factors of 83548

List of positive integer factors of 83548 that divides 83544 without a remainder.

1, 2, 4, 20887, 41774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83544 and 83548. The biggest common factor number is the GCF number.
So the greatest common factor 83544 and 83548 is 4.

Also check out the Least Common Multiple of 83544 and 83548