What is the Greatest Common Factor of 77544 and 77559?

Greatest common factor (GCF) of 77544 and 77559 is 3.

GCF(77544,77559) = 3

We will now calculate the prime factors of 77544 and 77559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77544 and 77559.

How to find the GCF of 77544 and 77559?

We will first find the prime factorization of 77544 and 77559. After we will calculate the factors of 77544 and 77559 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 77559

Prime factors of 77559 are 3, 103, 251. Prime factorization of 77559 in exponential form is:

77559 = 3¹ × 103¹ × 251¹

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 77559

List of positive integer factors of 77559 that divides 77544 without a remainder.

1, 3, 103, 251, 309, 753, 25853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77544 and 77559. The biggest common factor number is the GCF number.
So the greatest common factor 77544 and 77559 is 3.

Also check out the Least Common Multiple of 77544 and 77559