What is the Greatest Common Factor of 74596 and 74612?

Greatest common factor (GCF) of 74596 and 74612 is 4.

GCF(74596,74612) = 4

We will now calculate the prime factors of 74596 and 74612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74596 and 74612.

How to find the GCF of 74596 and 74612?

We will first find the prime factorization of 74596 and 74612. After we will calculate the factors of 74596 and 74612 and find the biggest common factor number .

Step-1: Prime Factorization of 74596

Prime factors of 74596 are 2, 17, 1097. Prime factorization of 74596 in exponential form is:

74596 = 2² × 17¹ × 1097¹

Step-2: Prime Factorization of 74612

Prime factors of 74612 are 2, 23, 811. Prime factorization of 74612 in exponential form is:

74612 = 2² × 23¹ × 811¹

Step-3: Factors of 74596

List of positive integer factors of 74596 that divides 74596 without a remainder.

1, 2, 4, 17, 34, 68, 1097, 2194, 4388, 18649, 37298

Step-4: Factors of 74612

List of positive integer factors of 74612 that divides 74596 without a remainder.

1, 2, 4, 23, 46, 92, 811, 1622, 3244, 18653, 37306

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74596 and 74612. The biggest common factor number is the GCF number.
So the greatest common factor 74596 and 74612 is 4.

Also check out the Least Common Multiple of 74596 and 74612