What is the Greatest Common Factor of 41688 and 41700?

Greatest common factor (GCF) of 41688 and 41700 is 12.

GCF(41688,41700) = 12

We will now calculate the prime factors of 41688 and 41700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41688 and 41700.

How to find the GCF of 41688 and 41700?

We will first find the prime factorization of 41688 and 41700. After we will calculate the factors of 41688 and 41700 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 41700

Prime factors of 41700 are 2, 3, 5, 139. Prime factorization of 41700 in exponential form is:

41700 = 2² × 3¹ × 5² × 139¹

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 41700

List of positive integer factors of 41700 that divides 41688 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 139, 150, 278, 300, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 3475, 4170, 6950, 8340, 10425, 13900, 20850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41688 and 41700. The biggest common factor number is the GCF number.
So the greatest common factor 41688 and 41700 is 12.

Also check out the Least Common Multiple of 41688 and 41700