What is the Greatest Common Factor of 59608 and 59612?

Greatest common factor (GCF) of 59608 and 59612 is 4.

GCF(59608,59612) = 4

We will now calculate the prime factors of 59608 and 59612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59608 and 59612.

How to find the GCF of 59608 and 59612?

We will first find the prime factorization of 59608 and 59612. After we will calculate the factors of 59608 and 59612 and find the biggest common factor number .

Step-1: Prime Factorization of 59608

Prime factors of 59608 are 2, 7451. Prime factorization of 59608 in exponential form is:

59608 = 2³ × 7451¹

Step-2: Prime Factorization of 59612

Prime factors of 59612 are 2, 7, 2129. Prime factorization of 59612 in exponential form is:

59612 = 2² × 7¹ × 2129¹

Step-3: Factors of 59608

List of positive integer factors of 59608 that divides 59608 without a remainder.

1, 2, 4, 8, 7451, 14902, 29804

Step-4: Factors of 59612

List of positive integer factors of 59612 that divides 59608 without a remainder.

1, 2, 4, 7, 14, 28, 2129, 4258, 8516, 14903, 29806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59608 and 59612. The biggest common factor number is the GCF number.
So the greatest common factor 59608 and 59612 is 4.

Also check out the Least Common Multiple of 59608 and 59612