What is the Greatest Common Factor of 76509 and 76527?

Greatest common factor (GCF) of 76509 and 76527 is 9.

GCF(76509,76527) = 9

We will now calculate the prime factors of 76509 and 76527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76509 and 76527.

How to find the GCF of 76509 and 76527?

We will first find the prime factorization of 76509 and 76527. After we will calculate the factors of 76509 and 76527 and find the biggest common factor number .

Step-1: Prime Factorization of 76509

Prime factors of 76509 are 3, 8501. Prime factorization of 76509 in exponential form is:

76509 = 3² × 8501¹

Step-2: Prime Factorization of 76527

Prime factors of 76527 are 3, 11, 773. Prime factorization of 76527 in exponential form is:

76527 = 3² × 11¹ × 773¹

Step-3: Factors of 76509

List of positive integer factors of 76509 that divides 76509 without a remainder.

1, 3, 9, 8501, 25503

Step-4: Factors of 76527

List of positive integer factors of 76527 that divides 76509 without a remainder.

1, 3, 9, 11, 33, 99, 773, 2319, 6957, 8503, 25509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76509 and 76527. The biggest common factor number is the GCF number.
So the greatest common factor 76509 and 76527 is 9.

Also check out the Least Common Multiple of 76509 and 76527