What is the Greatest Common Factor of 59870 and 59880?

Greatest common factor (GCF) of 59870 and 59880 is 10.

GCF(59870,59880) = 10

We will now calculate the prime factors of 59870 and 59880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59870 and 59880.

How to find the GCF of 59870 and 59880?

We will first find the prime factorization of 59870 and 59880. After we will calculate the factors of 59870 and 59880 and find the biggest common factor number .

Step-1: Prime Factorization of 59870

Prime factors of 59870 are 2, 5, 5987. Prime factorization of 59870 in exponential form is:

59870 = 2¹ × 5¹ × 5987¹

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 59870

List of positive integer factors of 59870 that divides 59870 without a remainder.

1, 2, 5, 10, 5987, 11974, 29935

Step-4: Factors of 59880

List of positive integer factors of 59880 that divides 59870 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 59870 and 59880. The biggest common factor number is the GCF number.
So the greatest common factor 59870 and 59880 is 10.

Also check out the Least Common Multiple of 59870 and 59880