What is the Greatest Common Factor of 58959 and 58979?

Greatest common factor (GCF) of 58959 and 58979 is 1.

GCF(58959,58979) = 1

We will now calculate the prime factors of 58959 and 58979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58959 and 58979.

How to find the GCF of 58959 and 58979?

We will first find the prime factorization of 58959 and 58979. After we will calculate the factors of 58959 and 58979 and find the biggest common factor number .

Step-1: Prime Factorization of 58959

Prime factors of 58959 are 3, 6551. Prime factorization of 58959 in exponential form is:

58959 = 3² × 6551¹

Step-2: Prime Factorization of 58979

Prime factors of 58979 are 58979. Prime factorization of 58979 in exponential form is:

58979 = 58979¹

Step-3: Factors of 58959

List of positive integer factors of 58959 that divides 58959 without a remainder.

1, 3, 9, 6551, 19653

Step-4: Factors of 58979

List of positive integer factors of 58979 that divides 58959 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58959 and 58979. The biggest common factor number is the GCF number.
So the greatest common factor 58959 and 58979 is 1.

Also check out the Least Common Multiple of 58959 and 58979