What is the Greatest Common Factor of 59900 and 59916?

Greatest common factor (GCF) of 59900 and 59916 is 4.

GCF(59900,59916) = 4

We will now calculate the prime factors of 59900 and 59916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59900 and 59916.

How to find the GCF of 59900 and 59916?

We will first find the prime factorization of 59900 and 59916. After we will calculate the factors of 59900 and 59916 and find the biggest common factor number .

Step-1: Prime Factorization of 59900

Prime factors of 59900 are 2, 5, 599. Prime factorization of 59900 in exponential form is:

59900 = 2² × 5² × 599¹

Step-2: Prime Factorization of 59916

Prime factors of 59916 are 2, 3, 4993. Prime factorization of 59916 in exponential form is:

59916 = 2² × 3¹ × 4993¹

Step-3: Factors of 59900

List of positive integer factors of 59900 that divides 59900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 599, 1198, 2396, 2995, 5990, 11980, 14975, 29950

Step-4: Factors of 59916

List of positive integer factors of 59916 that divides 59900 without a remainder.

1, 2, 3, 4, 6, 12, 4993, 9986, 14979, 19972, 29958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59900 and 59916. The biggest common factor number is the GCF number.
So the greatest common factor 59900 and 59916 is 4.

Also check out the Least Common Multiple of 59900 and 59916