What is the Greatest Common Factor of 41688 and 41697?

Greatest common factor (GCF) of 41688 and 41697 is 9.

GCF(41688,41697) = 9

We will now calculate the prime factors of 41688 and 41697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41688 and 41697.

How to find the GCF of 41688 and 41697?

We will first find the prime factorization of 41688 and 41697. After we will calculate the factors of 41688 and 41697 and find the biggest common factor number .

Step-1: Prime Factorization of 41688

Prime factors of 41688 are 2, 3, 193. Prime factorization of 41688 in exponential form is:

41688 = 2³ × 3³ × 193¹

Step-2: Prime Factorization of 41697

Prime factors of 41697 are 3, 41, 113. Prime factorization of 41697 in exponential form is:

41697 = 3² × 41¹ × 113¹

Step-3: Factors of 41688

List of positive integer factors of 41688 that divides 41688 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 193, 216, 386, 579, 772, 1158, 1544, 1737, 2316, 3474, 4632, 5211, 6948, 10422, 13896, 20844

Step-4: Factors of 41697

List of positive integer factors of 41697 that divides 41688 without a remainder.

1, 3, 9, 41, 113, 123, 339, 369, 1017, 4633, 13899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41688 and 41697. The biggest common factor number is the GCF number.
So the greatest common factor 41688 and 41697 is 9.

Also check out the Least Common Multiple of 41688 and 41697