What is the Greatest Common Factor of 41596 and 41612?

Greatest common factor (GCF) of 41596 and 41612 is 4.

GCF(41596,41612) = 4

We will now calculate the prime factors of 41596 and 41612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41596 and 41612.

How to find the GCF of 41596 and 41612?

We will first find the prime factorization of 41596 and 41612. After we will calculate the factors of 41596 and 41612 and find the biggest common factor number .

Step-1: Prime Factorization of 41596

Prime factors of 41596 are 2, 10399. Prime factorization of 41596 in exponential form is:

41596 = 2² × 10399¹

Step-2: Prime Factorization of 41612

Prime factors of 41612 are 2, 101, 103. Prime factorization of 41612 in exponential form is:

41612 = 2² × 101¹ × 103¹

Step-3: Factors of 41596

List of positive integer factors of 41596 that divides 41596 without a remainder.

1, 2, 4, 10399, 20798

Step-4: Factors of 41612

List of positive integer factors of 41612 that divides 41596 without a remainder.

1, 2, 4, 101, 103, 202, 206, 404, 412, 10403, 20806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41596 and 41612. The biggest common factor number is the GCF number.
So the greatest common factor 41596 and 41612 is 4.

Also check out the Least Common Multiple of 41596 and 41612