What is the Greatest Common Factor of 76614 and 76620?

Greatest common factor (GCF) of 76614 and 76620 is 6.

GCF(76614,76620) = 6

We will now calculate the prime factors of 76614 and 76620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76614 and 76620.

How to find the GCF of 76614 and 76620?

We will first find the prime factorization of 76614 and 76620. After we will calculate the factors of 76614 and 76620 and find the biggest common factor number .

Step-1: Prime Factorization of 76614

Prime factors of 76614 are 2, 3, 113. Prime factorization of 76614 in exponential form is:

76614 = 2¹ × 3¹ × 113²

Step-2: Prime Factorization of 76620

Prime factors of 76620 are 2, 3, 5, 1277. Prime factorization of 76620 in exponential form is:

76620 = 2² × 3¹ × 5¹ × 1277¹

Step-3: Factors of 76614

List of positive integer factors of 76614 that divides 76614 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678, 12769, 25538, 38307

Step-4: Factors of 76620

List of positive integer factors of 76620 that divides 76614 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1277, 2554, 3831, 5108, 6385, 7662, 12770, 15324, 19155, 25540, 38310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76614 and 76620. The biggest common factor number is the GCF number.
So the greatest common factor 76614 and 76620 is 6.

Also check out the Least Common Multiple of 76614 and 76620