What is the Greatest Common Factor of 58947 and 58956?

Greatest common factor (GCF) of 58947 and 58956 is 3.

GCF(58947,58956) = 3

We will now calculate the prime factors of 58947 and 58956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58947 and 58956.

How to find the GCF of 58947 and 58956?

We will first find the prime factorization of 58947 and 58956. After we will calculate the factors of 58947 and 58956 and find the biggest common factor number .

Step-1: Prime Factorization of 58947

Prime factors of 58947 are 3, 7, 401. Prime factorization of 58947 in exponential form is:

58947 = 3¹ × 7² × 401¹

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 58947

List of positive integer factors of 58947 that divides 58947 without a remainder.

1, 3, 7, 21, 49, 147, 401, 1203, 2807, 8421, 19649

Step-4: Factors of 58956

List of positive integer factors of 58956 that divides 58947 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 58947 and 58956. The biggest common factor number is the GCF number.
So the greatest common factor 58947 and 58956 is 3.

Also check out the Least Common Multiple of 58947 and 58956