What is the Greatest Common Factor of 76572 and 76587?

Greatest common factor (GCF) of 76572 and 76587 is 3.

GCF(76572,76587) = 3

We will now calculate the prime factors of 76572 and 76587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76572 and 76587.

How to find the GCF of 76572 and 76587?

We will first find the prime factorization of 76572 and 76587. After we will calculate the factors of 76572 and 76587 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 76587

Prime factors of 76587 are 3, 7, 521. Prime factorization of 76587 in exponential form is:

76587 = 3¹ × 7² × 521¹

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 76587

List of positive integer factors of 76587 that divides 76572 without a remainder.

1, 3, 7, 21, 49, 147, 521, 1563, 3647, 10941, 25529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76572 and 76587. The biggest common factor number is the GCF number.
So the greatest common factor 76572 and 76587 is 3.

Also check out the Least Common Multiple of 76572 and 76587