What is the Greatest Common Factor of 58980 and 58989?

Greatest common factor (GCF) of 58980 and 58989 is 3.

GCF(58980,58989) = 3

We will now calculate the prime factors of 58980 and 58989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58980 and 58989.

How to find the GCF of 58980 and 58989?

We will first find the prime factorization of 58980 and 58989. After we will calculate the factors of 58980 and 58989 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58989

Prime factors of 58989 are 3, 7, 53. Prime factorization of 58989 in exponential form is:

58989 = 3¹ × 7¹ × 53²

Step-3: Factors of 58980

List of positive integer factors of 58980 that divides 58980 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

Step-4: Factors of 58989

List of positive integer factors of 58989 that divides 58980 without a remainder.

1, 3, 7, 21, 53, 159, 371, 1113, 2809, 8427, 19663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58980 and 58989. The biggest common factor number is the GCF number.
So the greatest common factor 58980 and 58989 is 3.

Also check out the Least Common Multiple of 58980 and 58989