What is the Greatest Common Factor of 58972 and 58980?

Greatest common factor (GCF) of 58972 and 58980 is 4.

GCF(58972,58980) = 4

We will now calculate the prime factors of 58972 and 58980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58972 and 58980.

How to find the GCF of 58972 and 58980?

We will first find the prime factorization of 58972 and 58980. After we will calculate the factors of 58972 and 58980 and find the biggest common factor number .

Step-1: Prime Factorization of 58972

Prime factors of 58972 are 2, 23, 641. Prime factorization of 58972 in exponential form is:

58972 = 2² × 23¹ × 641¹

Step-2: Prime Factorization of 58980

Prime factors of 58980 are 2, 3, 5, 983. Prime factorization of 58980 in exponential form is:

58980 = 2² × 3¹ × 5¹ × 983¹

Step-3: Factors of 58972

List of positive integer factors of 58972 that divides 58972 without a remainder.

1, 2, 4, 23, 46, 92, 641, 1282, 2564, 14743, 29486

Step-4: Factors of 58980

List of positive integer factors of 58980 that divides 58972 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 983, 1966, 2949, 3932, 4915, 5898, 9830, 11796, 14745, 19660, 29490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58972 and 58980. The biggest common factor number is the GCF number.
So the greatest common factor 58972 and 58980 is 4.

Also check out the Least Common Multiple of 58972 and 58980