What is the Greatest Common Factor of 41657 and 41675?

Greatest common factor (GCF) of 41657 and 41675 is 1.

GCF(41657,41675) = 1

We will now calculate the prime factors of 41657 and 41675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41657 and 41675.

How to find the GCF of 41657 and 41675?

We will first find the prime factorization of 41657 and 41675. After we will calculate the factors of 41657 and 41675 and find the biggest common factor number .

Step-1: Prime Factorization of 41657

Prime factors of 41657 are 7, 11, 541. Prime factorization of 41657 in exponential form is:

41657 = 7¹ × 11¹ × 541¹

Step-2: Prime Factorization of 41675

Prime factors of 41675 are 5, 1667. Prime factorization of 41675 in exponential form is:

41675 = 5² × 1667¹

Step-3: Factors of 41657

List of positive integer factors of 41657 that divides 41657 without a remainder.

1, 7, 11, 77, 541, 3787, 5951

Step-4: Factors of 41675

List of positive integer factors of 41675 that divides 41657 without a remainder.

1, 5, 25, 1667, 8335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41657 and 41675. The biggest common factor number is the GCF number.
So the greatest common factor 41657 and 41675 is 1.

Also check out the Least Common Multiple of 41657 and 41675