What is the Greatest Common Factor of 59880 and 59895?

Greatest common factor (GCF) of 59880 and 59895 is 15.

GCF(59880,59895) = 15

We will now calculate the prime factors of 59880 and 59895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59880 and 59895.

How to find the GCF of 59880 and 59895?

We will first find the prime factorization of 59880 and 59895. After we will calculate the factors of 59880 and 59895 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 59895

Prime factors of 59895 are 3, 5, 11. Prime factorization of 59895 in exponential form is:

59895 = 3² × 5¹ × 11³

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 59895

List of positive integer factors of 59895 that divides 59880 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1331, 1815, 3993, 5445, 6655, 11979, 19965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59880 and 59895. The biggest common factor number is the GCF number.
So the greatest common factor 59880 and 59895 is 15.

Also check out the Least Common Multiple of 59880 and 59895