What is the Greatest Common Factor of 41608 and 41612?

Greatest common factor (GCF) of 41608 and 41612 is 4.

GCF(41608,41612) = 4

We will now calculate the prime factors of 41608 and 41612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41608 and 41612.

How to find the GCF of 41608 and 41612?

We will first find the prime factorization of 41608 and 41612. After we will calculate the factors of 41608 and 41612 and find the biggest common factor number .

Step-1: Prime Factorization of 41608

Prime factors of 41608 are 2, 7, 743. Prime factorization of 41608 in exponential form is:

41608 = 2³ × 7¹ × 743¹

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 41608

List of positive integer factors of 41608 that divides 41608 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 743, 1486, 2972, 5201, 5944, 10402, 20804

Step-4: Factors of 41612

List of positive integer factors of 41612 that divides 41608 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 41608 and 41612. The biggest common factor number is the GCF number.
So the greatest common factor 41608 and 41612 is 4.

Also check out the Least Common Multiple of 41608 and 41612