What is the Greatest Common Factor of 59868 and 59880?

Greatest common factor (GCF) of 59868 and 59880 is 12.

GCF(59868,59880) = 12

We will now calculate the prime factors of 59868 and 59880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59868 and 59880.

How to find the GCF of 59868 and 59880?

We will first find the prime factorization of 59868 and 59880. After we will calculate the factors of 59868 and 59880 and find the biggest common factor number .

Step-1: Prime Factorization of 59868

Prime factors of 59868 are 2, 3, 1663. Prime factorization of 59868 in exponential form is:

59868 = 2² × 3² × 1663¹

Step-2: 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-3: Factors of 59868

List of positive integer factors of 59868 that divides 59868 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1663, 3326, 4989, 6652, 9978, 14967, 19956, 29934

Step-4: Factors of 59880

List of positive integer factors of 59880 that divides 59868 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59868 and 59880. The biggest common factor number is the GCF number.
So the greatest common factor 59868 and 59880 is 12.

Also check out the Least Common Multiple of 59868 and 59880