What is the Greatest Common Factor of 76665 and 76672?

Greatest common factor (GCF) of 76665 and 76672 is 1.

GCF(76665,76672) = 1

We will now calculate the prime factors of 76665 and 76672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76665 and 76672.

How to find the GCF of 76665 and 76672?

We will first find the prime factorization of 76665 and 76672. After we will calculate the factors of 76665 and 76672 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76672

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

76672 = 2⁷ × 599¹

Step-3: Factors of 76665

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

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

Step-4: Factors of 76672

List of positive integer factors of 76672 that divides 76665 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76665 and 76672. The biggest common factor number is the GCF number.
So the greatest common factor 76665 and 76672 is 1.

Also check out the Least Common Multiple of 76665 and 76672