What is the Greatest Common Factor of 76605 and 76617?

Greatest common factor (GCF) of 76605 and 76617 is 3.

GCF(76605,76617) = 3

We will now calculate the prime factors of 76605 and 76617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76605 and 76617.

How to find the GCF of 76605 and 76617?

We will first find the prime factorization of 76605 and 76617. After we will calculate the factors of 76605 and 76617 and find the biggest common factor number .

Step-1: Prime Factorization of 76605

Prime factors of 76605 are 3, 5, 5107. Prime factorization of 76605 in exponential form is:

76605 = 3¹ × 5¹ × 5107¹

Step-2: Prime Factorization of 76617

Prime factors of 76617 are 3, 8513. Prime factorization of 76617 in exponential form is:

76617 = 3² × 8513¹

Step-3: Factors of 76605

List of positive integer factors of 76605 that divides 76605 without a remainder.

1, 3, 5, 15, 5107, 15321, 25535

Step-4: Factors of 76617

List of positive integer factors of 76617 that divides 76605 without a remainder.

1, 3, 9, 8513, 25539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76605 and 76617. The biggest common factor number is the GCF number.
So the greatest common factor 76605 and 76617 is 3.

Also check out the Least Common Multiple of 76605 and 76617