What is the Greatest Common Factor of 76587 and 76601?

Greatest common factor (GCF) of 76587 and 76601 is 7.

GCF(76587,76601) = 7

We will now calculate the prime factors of 76587 and 76601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76587 and 76601.

How to find the GCF of 76587 and 76601?

We will first find the prime factorization of 76587 and 76601. After we will calculate the factors of 76587 and 76601 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76601

Prime factors of 76601 are 7, 31, 353. Prime factorization of 76601 in exponential form is:

76601 = 7¹ × 31¹ × 353¹

Step-3: Factors of 76587

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

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

Step-4: Factors of 76601

List of positive integer factors of 76601 that divides 76587 without a remainder.

1, 7, 31, 217, 353, 2471, 10943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76587 and 76601. The biggest common factor number is the GCF number.
So the greatest common factor 76587 and 76601 is 7.

Also check out the Least Common Multiple of 76587 and 76601