What is the Greatest Common Factor of 59880 and 59889?

Greatest common factor (GCF) of 59880 and 59889 is 3.

GCF(59880,59889) = 3

We will now calculate the prime factors of 59880 and 59889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59880 and 59889.

How to find the GCF of 59880 and 59889?

We will first find the prime factorization of 59880 and 59889. After we will calculate the factors of 59880 and 59889 and find the biggest common factor number .

Step-1: Prime Factorization of 59880

Prime factors of 59880 are 2, 3, 5, 499. Prime factorization of 59880 in exponential form is:

59880 = 2³ × 3¹ × 5¹ × 499¹

Step-2: Prime Factorization of 59889

Prime factors of 59889 are 3, 19963. Prime factorization of 59889 in exponential form is:

59889 = 3¹ × 19963¹

Step-3: Factors of 59880

List of positive integer factors of 59880 that divides 59880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 499, 998, 1497, 1996, 2495, 2994, 3992, 4990, 5988, 7485, 9980, 11976, 14970, 19960, 29940

Step-4: Factors of 59889

List of positive integer factors of 59889 that divides 59880 without a remainder.

1, 3, 19963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59880 and 59889. The biggest common factor number is the GCF number.
So the greatest common factor 59880 and 59889 is 3.

Also check out the Least Common Multiple of 59880 and 59889