What is the Greatest Common Factor of 41608 and 41627?

Greatest common factor (GCF) of 41608 and 41627 is 1.

GCF(41608,41627) = 1

We will now calculate the prime factors of 41608 and 41627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41608 and 41627.

How to find the GCF of 41608 and 41627?

We will first find the prime factorization of 41608 and 41627. After we will calculate the factors of 41608 and 41627 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 41627

Prime factors of 41627 are 41627. Prime factorization of 41627 in exponential form is:

41627 = 41627¹

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 41627

List of positive integer factors of 41627 that divides 41608 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41608 and 41627. The biggest common factor number is the GCF number.
So the greatest common factor 41608 and 41627 is 1.

Also check out the Least Common Multiple of 41608 and 41627