What is the Greatest Common Factor of 41625 and 41643?

Greatest common factor (GCF) of 41625 and 41643 is 9.

GCF(41625,41643) = 9

We will now calculate the prime factors of 41625 and 41643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41625 and 41643.

How to find the GCF of 41625 and 41643?

We will first find the prime factorization of 41625 and 41643. After we will calculate the factors of 41625 and 41643 and find the biggest common factor number .

Step-1: Prime Factorization of 41625

Prime factors of 41625 are 3, 5, 37. Prime factorization of 41625 in exponential form is:

41625 = 3² × 5³ × 37¹

Step-2: 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-3: Factors of 41625

List of positive integer factors of 41625 that divides 41625 without a remainder.

1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 125, 185, 225, 333, 375, 555, 925, 1125, 1665, 2775, 4625, 8325, 13875

Step-4: Factors of 41643

List of positive integer factors of 41643 that divides 41625 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41625 and 41643. The biggest common factor number is the GCF number.
So the greatest common factor 41625 and 41643 is 9.

Also check out the Least Common Multiple of 41625 and 41643