What is the Greatest Common Factor of 77544 and 77548?

Greatest common factor (GCF) of 77544 and 77548 is 4.

GCF(77544,77548) = 4

We will now calculate the prime factors of 77544 and 77548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77544 and 77548.

How to find the GCF of 77544 and 77548?

We will first find the prime factorization of 77544 and 77548. After we will calculate the factors of 77544 and 77548 and find the biggest common factor number .

Step-1: Prime Factorization of 77544

Prime factors of 77544 are 2, 3, 359. Prime factorization of 77544 in exponential form is:

77544 = 2³ × 3³ × 359¹

Step-2: Prime Factorization of 77548

Prime factors of 77548 are 2, 19387. Prime factorization of 77548 in exponential form is:

77548 = 2² × 19387¹

Step-3: Factors of 77544

List of positive integer factors of 77544 that divides 77544 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 359, 718, 1077, 1436, 2154, 2872, 3231, 4308, 6462, 8616, 9693, 12924, 19386, 25848, 38772

Step-4: Factors of 77548

List of positive integer factors of 77548 that divides 77544 without a remainder.

1, 2, 4, 19387, 38774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77544 and 77548. The biggest common factor number is the GCF number.
So the greatest common factor 77544 and 77548 is 4.

Also check out the Least Common Multiple of 77544 and 77548