What is the Greatest Common Factor of 41643 and 41661?

Greatest common factor (GCF) of 41643 and 41661 is 9.

GCF(41643,41661) = 9

We will now calculate the prime factors of 41643 and 41661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41643 and 41661.

How to find the GCF of 41643 and 41661?

We will first find the prime factorization of 41643 and 41661. After we will calculate the factors of 41643 and 41661 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 41661

Prime factors of 41661 are 3, 1543. Prime factorization of 41661 in exponential form is:

41661 = 3³ × 1543¹

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 41661

List of positive integer factors of 41661 that divides 41643 without a remainder.

1, 3, 9, 27, 1543, 4629, 13887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41643 and 41661. The biggest common factor number is the GCF number.
So the greatest common factor 41643 and 41661 is 9.

Also check out the Least Common Multiple of 41643 and 41661