What is the Greatest Common Factor of 41643 and 41657?

Greatest common factor (GCF) of 41643 and 41657 is 7.

GCF(41643,41657) = 7

We will now calculate the prime factors of 41643 and 41657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41643 and 41657.

How to find the GCF of 41643 and 41657?

We will first find the prime factorization of 41643 and 41657. After we will calculate the factors of 41643 and 41657 and find the biggest common factor number .

Step-1: Prime Factorization of 41643

Prime factors of 41643 are 3, 7, 661. Prime factorization of 41643 in exponential form is:

41643 = 3² × 7¹ × 661¹

Step-2: 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-3: Factors of 41643

List of positive integer factors of 41643 that divides 41643 without a remainder.

1, 3, 7, 9, 21, 63, 661, 1983, 4627, 5949, 13881

Step-4: Factors of 41657

List of positive integer factors of 41657 that divides 41643 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41643 and 41657. The biggest common factor number is the GCF number.
So the greatest common factor 41643 and 41657 is 7.

Also check out the Least Common Multiple of 41643 and 41657