What is the Greatest Common Factor of 76653 and 76665?

Greatest common factor (GCF) of 76653 and 76665 is 3.

GCF(76653,76665) = 3

We will now calculate the prime factors of 76653 and 76665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76653 and 76665.

How to find the GCF of 76653 and 76665?

We will first find the prime factorization of 76653 and 76665. After we will calculate the factors of 76653 and 76665 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 76665

Prime factors of 76665 are 3, 5, 19, 269. Prime factorization of 76665 in exponential form is:

76665 = 3¹ × 5¹ × 19¹ × 269¹

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 76665

List of positive integer factors of 76665 that divides 76653 without a remainder.

1, 3, 5, 15, 19, 57, 95, 269, 285, 807, 1345, 4035, 5111, 15333, 25555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76653 and 76665. The biggest common factor number is the GCF number.
So the greatest common factor 76653 and 76665 is 3.

Also check out the Least Common Multiple of 76653 and 76665