What is the Greatest Common Factor of 76572 and 76591?

Greatest common factor (GCF) of 76572 and 76591 is 1.

GCF(76572,76591) = 1

We will now calculate the prime factors of 76572 and 76591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76572 and 76591.

How to find the GCF of 76572 and 76591?

We will first find the prime factorization of 76572 and 76591. After we will calculate the factors of 76572 and 76591 and find the biggest common factor number .

Step-1: Prime Factorization of 76572

Prime factors of 76572 are 2, 3, 709. Prime factorization of 76572 in exponential form is:

76572 = 2² × 3³ × 709¹

Step-2: Prime Factorization of 76591

Prime factors of 76591 are 191, 401. Prime factorization of 76591 in exponential form is:

76591 = 191¹ × 401¹

Step-3: Factors of 76572

List of positive integer factors of 76572 that divides 76572 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 709, 1418, 2127, 2836, 4254, 6381, 8508, 12762, 19143, 25524, 38286

Step-4: Factors of 76591

List of positive integer factors of 76591 that divides 76572 without a remainder.

1, 191, 401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76572 and 76591. The biggest common factor number is the GCF number.
So the greatest common factor 76572 and 76591 is 1.

Also check out the Least Common Multiple of 76572 and 76591