What is the Greatest Common Factor of 76672 and 76686?

Greatest common factor (GCF) of 76672 and 76686 is 2.

GCF(76672,76686) = 2

We will now calculate the prime factors of 76672 and 76686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76672 and 76686.

How to find the GCF of 76672 and 76686?

We will first find the prime factorization of 76672 and 76686. After we will calculate the factors of 76672 and 76686 and find the biggest common factor number .

Step-1: Prime Factorization of 76672

Prime factors of 76672 are 2, 599. Prime factorization of 76672 in exponential form is:

76672 = 2⁷ × 599¹

Step-2: Prime Factorization of 76686

Prime factors of 76686 are 2, 3, 12781. Prime factorization of 76686 in exponential form is:

76686 = 2¹ × 3¹ × 12781¹

Step-3: Factors of 76672

List of positive integer factors of 76672 that divides 76672 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 599, 1198, 2396, 4792, 9584, 19168, 38336

Step-4: Factors of 76686

List of positive integer factors of 76686 that divides 76672 without a remainder.

1, 2, 3, 6, 12781, 25562, 38343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76672 and 76686. The biggest common factor number is the GCF number.
So the greatest common factor 76672 and 76686 is 2.

Also check out the Least Common Multiple of 76672 and 76686