What is the Greatest Common Factor of 59958 and 59970?

Greatest common factor (GCF) of 59958 and 59970 is 6.

GCF(59958,59970) = 6

We will now calculate the prime factors of 59958 and 59970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59958 and 59970.

How to find the GCF of 59958 and 59970?

We will first find the prime factorization of 59958 and 59970. After we will calculate the factors of 59958 and 59970 and find the biggest common factor number .

Step-1: Prime Factorization of 59958

Prime factors of 59958 are 2, 3, 3331. Prime factorization of 59958 in exponential form is:

59958 = 2¹ × 3² × 3331¹

Step-2: 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-3: Factors of 59958

List of positive integer factors of 59958 that divides 59958 without a remainder.

1, 2, 3, 6, 9, 18, 3331, 6662, 9993, 19986, 29979

Step-4: Factors of 59970

List of positive integer factors of 59970 that divides 59958 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59958 and 59970. The biggest common factor number is the GCF number.
So the greatest common factor 59958 and 59970 is 6.

Also check out the Least Common Multiple of 59958 and 59970