What is the Greatest Common Factor of 76653 and 76671?

Greatest common factor (GCF) of 76653 and 76671 is 9.

GCF(76653,76671) = 9

We will now calculate the prime factors of 76653 and 76671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76653 and 76671.

How to find the GCF of 76653 and 76671?

We will first find the prime factorization of 76653 and 76671. After we will calculate the factors of 76653 and 76671 and find the biggest common factor number .

Step-1: Prime Factorization of 76653

Prime factors of 76653 are 3, 17, 167. Prime factorization of 76653 in exponential form is:

76653 = 3³ × 17¹ × 167¹

Step-2: Prime Factorization of 76671

Prime factors of 76671 are 3, 7, 1217. Prime factorization of 76671 in exponential form is:

76671 = 3² × 7¹ × 1217¹

Step-3: Factors of 76653

List of positive integer factors of 76653 that divides 76653 without a remainder.

1, 3, 9, 17, 27, 51, 153, 167, 459, 501, 1503, 2839, 4509, 8517, 25551

Step-4: Factors of 76671

List of positive integer factors of 76671 that divides 76653 without a remainder.

1, 3, 7, 9, 21, 63, 1217, 3651, 8519, 10953, 25557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76653 and 76671. The biggest common factor number is the GCF number.
So the greatest common factor 76653 and 76671 is 9.

Also check out the Least Common Multiple of 76653 and 76671