What is the Greatest Common Factor of 58956 and 58970?

Greatest common factor (GCF) of 58956 and 58970 is 2.

GCF(58956,58970) = 2

We will now calculate the prime factors of 58956 and 58970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58956 and 58970.

How to find the GCF of 58956 and 58970?

We will first find the prime factorization of 58956 and 58970. After we will calculate the factors of 58956 and 58970 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58970

Prime factors of 58970 are 2, 5, 5897. Prime factorization of 58970 in exponential form is:

58970 = 2¹ × 5¹ × 5897¹

Step-3: Factors of 58956

List of positive integer factors of 58956 that divides 58956 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

Step-4: Factors of 58970

List of positive integer factors of 58970 that divides 58956 without a remainder.

1, 2, 5, 10, 5897, 11794, 29485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58956 and 58970. The biggest common factor number is the GCF number.
So the greatest common factor 58956 and 58970 is 2.

Also check out the Least Common Multiple of 58956 and 58970