What is the Greatest Common Factor of 77544 and 77552?

Greatest common factor (GCF) of 77544 and 77552 is 8.

GCF(77544,77552) = 8

We will now calculate the prime factors of 77544 and 77552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77544 and 77552.

How to find the GCF of 77544 and 77552?

We will first find the prime factorization of 77544 and 77552. After we will calculate the factors of 77544 and 77552 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 77552

Prime factors of 77552 are 2, 37, 131. Prime factorization of 77552 in exponential form is:

77552 = 2⁴ × 37¹ × 131¹

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 77552

List of positive integer factors of 77552 that divides 77544 without a remainder.

1, 2, 4, 8, 16, 37, 74, 131, 148, 262, 296, 524, 592, 1048, 2096, 4847, 9694, 19388, 38776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77544 and 77552. The biggest common factor number is the GCF number.
So the greatest common factor 77544 and 77552 is 8.

Also check out the Least Common Multiple of 77544 and 77552