What is the Greatest Common Factor of 59970 and 59980?

Greatest common factor (GCF) of 59970 and 59980 is 10.

GCF(59970,59980) = 10

We will now calculate the prime factors of 59970 and 59980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59970 and 59980.

How to find the GCF of 59970 and 59980?

We will first find the prime factorization of 59970 and 59980. After we will calculate the factors of 59970 and 59980 and find the biggest common factor number .

Step-1: Prime Factorization of 59970

Prime factors of 59970 are 2, 3, 5, 1999. Prime factorization of 59970 in exponential form is:

59970 = 2¹ × 3¹ × 5¹ × 1999¹

Step-2: Prime Factorization of 59980

Prime factors of 59980 are 2, 5, 2999. Prime factorization of 59980 in exponential form is:

59980 = 2² × 5¹ × 2999¹

Step-3: Factors of 59970

List of positive integer factors of 59970 that divides 59970 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1999, 3998, 5997, 9995, 11994, 19990, 29985

Step-4: Factors of 59980

List of positive integer factors of 59980 that divides 59970 without a remainder.

1, 2, 4, 5, 10, 20, 2999, 5998, 11996, 14995, 29990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59970 and 59980. The biggest common factor number is the GCF number.
So the greatest common factor 59970 and 59980 is 10.

Also check out the Least Common Multiple of 59970 and 59980