What is the Greatest Common Factor of 59912 and 59916?

Greatest common factor (GCF) of 59912 and 59916 is 4.

GCF(59912,59916) = 4

We will now calculate the prime factors of 59912 and 59916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59912 and 59916.

How to find the GCF of 59912 and 59916?

We will first find the prime factorization of 59912 and 59916. After we will calculate the factors of 59912 and 59916 and find the biggest common factor number .

Step-1: Prime Factorization of 59912

Prime factors of 59912 are 2, 7489. Prime factorization of 59912 in exponential form is:

59912 = 2³ × 7489¹

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 59912

List of positive integer factors of 59912 that divides 59912 without a remainder.

1, 2, 4, 8, 7489, 14978, 29956

Step-4: Factors of 59916

List of positive integer factors of 59916 that divides 59912 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 59912 and 59916. The biggest common factor number is the GCF number.
So the greatest common factor 59912 and 59916 is 4.

Also check out the Least Common Multiple of 59912 and 59916