What is the Greatest Common Factor of 77059 and 77077?

Greatest common factor (GCF) of 77059 and 77077 is 1.

GCF(77059,77077) = 1

We will now calculate the prime factors of 77059 and 77077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77059 and 77077.

How to find the GCF of 77059 and 77077?

We will first find the prime factorization of 77059 and 77077. After we will calculate the factors of 77059 and 77077 and find the biggest common factor number .

Step-1: Prime Factorization of 77059

Prime factors of 77059 are 263, 293. Prime factorization of 77059 in exponential form is:

77059 = 263¹ × 293¹

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 77059

List of positive integer factors of 77059 that divides 77059 without a remainder.

1, 263, 293

Step-4: Factors of 77077

List of positive integer factors of 77077 that divides 77059 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 77059 and 77077. The biggest common factor number is the GCF number.
So the greatest common factor 77059 and 77077 is 1.

Also check out the Least Common Multiple of 77059 and 77077