What is the Greatest Common Factor of 77057 and 77077?

Greatest common factor (GCF) of 77057 and 77077 is 1.

GCF(77057,77077) = 1

We will now calculate the prime factors of 77057 and 77077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77057 and 77077.

How to find the GCF of 77057 and 77077?

We will first find the prime factorization of 77057 and 77077. After we will calculate the factors of 77057 and 77077 and find the biggest common factor number .

Step-1: Prime Factorization of 77057

Prime factors of 77057 are 251, 307. Prime factorization of 77057 in exponential form is:

77057 = 251¹ × 307¹

Step-2: Prime Factorization of 77077

Prime factors of 77077 are 7, 11, 13. Prime factorization of 77077 in exponential form is:

77077 = 7² × 11² × 13¹

Step-3: Factors of 77057

List of positive integer factors of 77057 that divides 77057 without a remainder.

1, 251, 307

Step-4: Factors of 77077

List of positive integer factors of 77077 that divides 77057 without a remainder.

1, 7, 11, 13, 49, 77, 91, 121, 143, 539, 637, 847, 1001, 1573, 5929, 7007, 11011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77057 and 77077. The biggest common factor number is the GCF number.
So the greatest common factor 77057 and 77077 is 1.

Also check out the Least Common Multiple of 77057 and 77077