What is the Greatest Common Factor of 79567 and 79577?

Greatest common factor (GCF) of 79567 and 79577 is 1.

GCF(79567,79577) = 1

We will now calculate the prime factors of 79567 and 79577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79567 and 79577.

How to find the GCF of 79567 and 79577?

We will first find the prime factorization of 79567 and 79577. After we will calculate the factors of 79567 and 79577 and find the biggest common factor number .

Step-1: Prime Factorization of 79567

Prime factors of 79567 are 251, 317. Prime factorization of 79567 in exponential form is:

79567 = 251¹ × 317¹

Step-2: Prime Factorization of 79577

Prime factors of 79577 are 17, 31, 151. Prime factorization of 79577 in exponential form is:

79577 = 17¹ × 31¹ × 151¹

Step-3: Factors of 79567

List of positive integer factors of 79567 that divides 79567 without a remainder.

1, 251, 317

Step-4: Factors of 79577

List of positive integer factors of 79577 that divides 79567 without a remainder.

1, 17, 31, 151, 527, 2567, 4681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79567 and 79577. The biggest common factor number is the GCF number.
So the greatest common factor 79567 and 79577 is 1.

Also check out the Least Common Multiple of 79567 and 79577