What is the Greatest Common Factor of 58939 and 58956?

Greatest common factor (GCF) of 58939 and 58956 is 17.

GCF(58939,58956) = 17

We will now calculate the prime factors of 58939 and 58956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58939 and 58956.

How to find the GCF of 58939 and 58956?

We will first find the prime factorization of 58939 and 58956. After we will calculate the factors of 58939 and 58956 and find the biggest common factor number .

Step-1: Prime Factorization of 58939

Prime factors of 58939 are 17, 3467. Prime factorization of 58939 in exponential form is:

58939 = 17¹ × 3467¹

Step-2: Prime Factorization of 58956

Prime factors of 58956 are 2, 3, 17. Prime factorization of 58956 in exponential form is:

58956 = 2² × 3¹ × 17³

Step-3: Factors of 58939

List of positive integer factors of 58939 that divides 58939 without a remainder.

1, 17, 3467

Step-4: Factors of 58956

List of positive integer factors of 58956 that divides 58939 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468, 4913, 9826, 14739, 19652, 29478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58939 and 58956. The biggest common factor number is the GCF number.
So the greatest common factor 58939 and 58956 is 17.

Also check out the Least Common Multiple of 58939 and 58956