What is the Greatest Common Factor of 59858 and 59877?

Greatest common factor (GCF) of 59858 and 59877 is 1.

GCF(59858,59877) = 1

We will now calculate the prime factors of 59858 and 59877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59858 and 59877.

How to find the GCF of 59858 and 59877?

We will first find the prime factorization of 59858 and 59877. After we will calculate the factors of 59858 and 59877 and find the biggest common factor number .

Step-1: Prime Factorization of 59858

Prime factors of 59858 are 2, 173. Prime factorization of 59858 in exponential form is:

59858 = 2¹ × 173²

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 59858

List of positive integer factors of 59858 that divides 59858 without a remainder.

1, 2, 173, 346, 29929

Step-4: Factors of 59877

List of positive integer factors of 59877 that divides 59858 without a remainder.

1, 3, 9, 6653, 19959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59858 and 59877. The biggest common factor number is the GCF number.
So the greatest common factor 59858 and 59877 is 1.

Also check out the Least Common Multiple of 59858 and 59877