What is the Greatest Common Factor of 41657 and 41671?

Greatest common factor (GCF) of 41657 and 41671 is 7.

GCF(41657,41671) = 7

We will now calculate the prime factors of 41657 and 41671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41657 and 41671.

How to find the GCF of 41657 and 41671?

We will first find the prime factorization of 41657 and 41671. After we will calculate the factors of 41657 and 41671 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 41671

Prime factors of 41671 are 7, 5953. Prime factorization of 41671 in exponential form is:

41671 = 7¹ × 5953¹

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 41671

List of positive integer factors of 41671 that divides 41657 without a remainder.

1, 7, 5953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41657 and 41671. The biggest common factor number is the GCF number.
So the greatest common factor 41657 and 41671 is 7.

Also check out the Least Common Multiple of 41657 and 41671