What is the Greatest Common Factor of 77371 and 77375?

Greatest common factor (GCF) of 77371 and 77375 is 1.

GCF(77371,77375) = 1

We will now calculate the prime factors of 77371 and 77375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77371 and 77375.

How to find the GCF of 77371 and 77375?

We will first find the prime factorization of 77371 and 77375. After we will calculate the factors of 77371 and 77375 and find the biggest common factor number .

Step-1: Prime Factorization of 77371

Prime factors of 77371 are 7, 1579. Prime factorization of 77371 in exponential form is:

77371 = 7² × 1579¹

Step-2: Prime Factorization of 77375

Prime factors of 77375 are 5, 619. Prime factorization of 77375 in exponential form is:

77375 = 5³ × 619¹

Step-3: Factors of 77371

List of positive integer factors of 77371 that divides 77371 without a remainder.

1, 7, 49, 1579, 11053

Step-4: Factors of 77375

List of positive integer factors of 77375 that divides 77371 without a remainder.

1, 5, 25, 125, 619, 3095, 15475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77371 and 77375. The biggest common factor number is the GCF number.
So the greatest common factor 77371 and 77375 is 1.

Also check out the Least Common Multiple of 77371 and 77375