What is the Greatest Common Factor of 76672 and 76681?

Greatest common factor (GCF) of 76672 and 76681 is 1.

GCF(76672,76681) = 1

We will now calculate the prime factors of 76672 and 76681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76672 and 76681.

How to find the GCF of 76672 and 76681?

We will first find the prime factorization of 76672 and 76681. After we will calculate the factors of 76672 and 76681 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 76681

Prime factors of 76681 are 11, 6971. Prime factorization of 76681 in exponential form is:

76681 = 11¹ × 6971¹

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 76681

List of positive integer factors of 76681 that divides 76672 without a remainder.

1, 11, 6971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76672 and 76681. The biggest common factor number is the GCF number.
So the greatest common factor 76672 and 76681 is 1.

Also check out the Least Common Multiple of 76672 and 76681