What is the Greatest Common Factor of 76057 and 76077?

Greatest common factor (GCF) of 76057 and 76077 is 1.

GCF(76057,76077) = 1

We will now calculate the prime factors of 76057 and 76077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76057 and 76077.

How to find the GCF of 76057 and 76077?

We will first find the prime factorization of 76057 and 76077. After we will calculate the factors of 76057 and 76077 and find the biggest common factor number .

Step-1: Prime Factorization of 76057

Prime factors of 76057 are 19, 4003. Prime factorization of 76057 in exponential form is:

76057 = 19¹ × 4003¹

Step-2: Prime Factorization of 76077

Prime factors of 76077 are 3, 79, 107. Prime factorization of 76077 in exponential form is:

76077 = 3² × 79¹ × 107¹

Step-3: Factors of 76057

List of positive integer factors of 76057 that divides 76057 without a remainder.

1, 19, 4003

Step-4: Factors of 76077

List of positive integer factors of 76077 that divides 76057 without a remainder.

1, 3, 9, 79, 107, 237, 321, 711, 963, 8453, 25359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76057 and 76077. The biggest common factor number is the GCF number.
So the greatest common factor 76057 and 76077 is 1.

Also check out the Least Common Multiple of 76057 and 76077