What is the Greatest Common Factor of 59860 and 59880?

Greatest common factor (GCF) of 59860 and 59880 is 20.

GCF(59860,59880) = 20

We will now calculate the prime factors of 59860 and 59880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59860 and 59880.

How to find the GCF of 59860 and 59880?

We will first find the prime factorization of 59860 and 59880. After we will calculate the factors of 59860 and 59880 and find the biggest common factor number .

Step-1: Prime Factorization of 59860

Prime factors of 59860 are 2, 5, 41, 73. Prime factorization of 59860 in exponential form is:

59860 = 2² × 5¹ × 41¹ × 73¹

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 59860

List of positive integer factors of 59860 that divides 59860 without a remainder.

1, 2, 4, 5, 10, 20, 41, 73, 82, 146, 164, 205, 292, 365, 410, 730, 820, 1460, 2993, 5986, 11972, 14965, 29930

Step-4: Factors of 59880

List of positive integer factors of 59880 that divides 59860 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 59860 and 59880. The biggest common factor number is the GCF number.
So the greatest common factor 59860 and 59880 is 20.

Also check out the Least Common Multiple of 59860 and 59880