What is the Greatest Common Factor of 59859 and 59877?

Greatest common factor (GCF) of 59859 and 59877 is 9.

GCF(59859,59877) = 9

We will now calculate the prime factors of 59859 and 59877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59859 and 59877.

How to find the GCF of 59859 and 59877?

We will first find the prime factorization of 59859 and 59877. After we will calculate the factors of 59859 and 59877 and find the biggest common factor number .

Step-1: Prime Factorization of 59859

Prime factors of 59859 are 3, 739. Prime factorization of 59859 in exponential form is:

59859 = 3⁴ × 739¹

Step-2: Prime Factorization of 59877

Prime factors of 59877 are 3, 6653. Prime factorization of 59877 in exponential form is:

59877 = 3² × 6653¹

Step-3: Factors of 59859

List of positive integer factors of 59859 that divides 59859 without a remainder.

1, 3, 9, 27, 81, 739, 2217, 6651, 19953

Step-4: Factors of 59877

List of positive integer factors of 59877 that divides 59859 without a remainder.

1, 3, 9, 6653, 19959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59859 and 59877. The biggest common factor number is the GCF number.
So the greatest common factor 59859 and 59877 is 9.

Also check out the Least Common Multiple of 59859 and 59877