What is the Greatest Common Factor of 76577 and 76589?

Greatest common factor (GCF) of 76577 and 76589 is 1.

GCF(76577,76589) = 1

We will now calculate the prime factors of 76577 and 76589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76577 and 76589.

How to find the GCF of 76577 and 76589?

We will first find the prime factorization of 76577 and 76589. After we will calculate the factors of 76577 and 76589 and find the biggest common factor number .

Step-1: Prime Factorization of 76577

Prime factors of 76577 are 73, 1049. Prime factorization of 76577 in exponential form is:

76577 = 73¹ × 1049¹

Step-2: Prime Factorization of 76589

Prime factors of 76589 are 19, 29, 139. Prime factorization of 76589 in exponential form is:

76589 = 19¹ × 29¹ × 139¹

Step-3: Factors of 76577

List of positive integer factors of 76577 that divides 76577 without a remainder.

1, 73, 1049

Step-4: Factors of 76589

List of positive integer factors of 76589 that divides 76577 without a remainder.

1, 19, 29, 139, 551, 2641, 4031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76577 and 76589. The biggest common factor number is the GCF number.
So the greatest common factor 76577 and 76589 is 1.

Also check out the Least Common Multiple of 76577 and 76589