What is the Greatest Common Factor of 77526 and 77538?

Greatest common factor (GCF) of 77526 and 77538 is 6.

GCF(77526,77538) = 6

We will now calculate the prime factors of 77526 and 77538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77526 and 77538.

How to find the GCF of 77526 and 77538?

We will first find the prime factorization of 77526 and 77538. After we will calculate the factors of 77526 and 77538 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 77538

Prime factors of 77538 are 2, 3, 12923. Prime factorization of 77538 in exponential form is:

77538 = 2¹ × 3¹ × 12923¹

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 77538

List of positive integer factors of 77538 that divides 77526 without a remainder.

1, 2, 3, 6, 12923, 25846, 38769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77526 and 77538. The biggest common factor number is the GCF number.
So the greatest common factor 77526 and 77538 is 6.

Also check out the Least Common Multiple of 77526 and 77538