What is the Greatest Common Factor of 41635 and 41646?

Greatest common factor (GCF) of 41635 and 41646 is 11.

GCF(41635,41646) = 11

We will now calculate the prime factors of 41635 and 41646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41635 and 41646.

How to find the GCF of 41635 and 41646?

We will first find the prime factorization of 41635 and 41646. After we will calculate the factors of 41635 and 41646 and find the biggest common factor number .

Step-1: Prime Factorization of 41635

Prime factors of 41635 are 5, 11, 757. Prime factorization of 41635 in exponential form is:

41635 = 5¹ × 11¹ × 757¹

Step-2: Prime Factorization of 41646

Prime factors of 41646 are 2, 3, 11, 631. Prime factorization of 41646 in exponential form is:

41646 = 2¹ × 3¹ × 11¹ × 631¹

Step-3: Factors of 41635

List of positive integer factors of 41635 that divides 41635 without a remainder.

1, 5, 11, 55, 757, 3785, 8327

Step-4: Factors of 41646

List of positive integer factors of 41646 that divides 41635 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 631, 1262, 1893, 3786, 6941, 13882, 20823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41635 and 41646. The biggest common factor number is the GCF number.
So the greatest common factor 41635 and 41646 is 11.

Also check out the Least Common Multiple of 41635 and 41646