What is the Greatest Common Factor of 58974 and 58988?

Greatest common factor (GCF) of 58974 and 58988 is 2.

GCF(58974,58988) = 2

We will now calculate the prime factors of 58974 and 58988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58974 and 58988.

How to find the GCF of 58974 and 58988?

We will first find the prime factorization of 58974 and 58988. After we will calculate the factors of 58974 and 58988 and find the biggest common factor number .

Step-1: Prime Factorization of 58974

Prime factors of 58974 are 2, 3, 9829. Prime factorization of 58974 in exponential form is:

58974 = 2¹ × 3¹ × 9829¹

Step-2: Prime Factorization of 58988

Prime factors of 58988 are 2, 14747. Prime factorization of 58988 in exponential form is:

58988 = 2² × 14747¹

Step-3: Factors of 58974

List of positive integer factors of 58974 that divides 58974 without a remainder.

1, 2, 3, 6, 9829, 19658, 29487

Step-4: Factors of 58988

List of positive integer factors of 58988 that divides 58974 without a remainder.

1, 2, 4, 14747, 29494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58974 and 58988. The biggest common factor number is the GCF number.
So the greatest common factor 58974 and 58988 is 2.

Also check out the Least Common Multiple of 58974 and 58988