What is the Greatest Common Factor of 41624 and 41635?

Greatest common factor (GCF) of 41624 and 41635 is 11.

GCF(41624,41635) = 11

We will now calculate the prime factors of 41624 and 41635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41624 and 41635.

How to find the GCF of 41624 and 41635?

We will first find the prime factorization of 41624 and 41635. After we will calculate the factors of 41624 and 41635 and find the biggest common factor number .

Step-1: Prime Factorization of 41624

Prime factors of 41624 are 2, 11, 43. Prime factorization of 41624 in exponential form is:

41624 = 2³ × 11² × 43¹

Step-2: 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-3: Factors of 41624

List of positive integer factors of 41624 that divides 41624 without a remainder.

1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 121, 172, 242, 344, 473, 484, 946, 968, 1892, 3784, 5203, 10406, 20812

Step-4: Factors of 41635

List of positive integer factors of 41635 that divides 41624 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41624 and 41635. The biggest common factor number is the GCF number.
So the greatest common factor 41624 and 41635 is 11.

Also check out the Least Common Multiple of 41624 and 41635