What is the Greatest Common Factor of 77526 and 77544?

Greatest common factor (GCF) of 77526 and 77544 is 18.

GCF(77526,77544) = 18

We will now calculate the prime factors of 77526 and 77544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77526 and 77544.

How to find the GCF of 77526 and 77544?

We will first find the prime factorization of 77526 and 77544. After we will calculate the factors of 77526 and 77544 and find the biggest common factor number .

Step-1: Prime Factorization of 77526

Prime factors of 77526 are 2, 3, 59, 73. Prime factorization of 77526 in exponential form is:

77526 = 2¹ × 3² × 59¹ × 73¹

Step-2: 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-3: Factors of 77526

List of positive integer factors of 77526 that divides 77526 without a remainder.

1, 2, 3, 6, 9, 18, 59, 73, 118, 146, 177, 219, 354, 438, 531, 657, 1062, 1314, 4307, 8614, 12921, 25842, 38763

Step-4: Factors of 77544

List of positive integer factors of 77544 that divides 77526 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77526 and 77544. The biggest common factor number is the GCF number.
So the greatest common factor 77526 and 77544 is 18.

Also check out the Least Common Multiple of 77526 and 77544