What is the Greatest Common Factor of 41672 and 41688?

Greatest common factor (GCF) of 41672 and 41688 is 8.

GCF(41672,41688) = 8

We will now calculate the prime factors of 41672 and 41688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41672 and 41688.

How to find the GCF of 41672 and 41688?

We will first find the prime factorization of 41672 and 41688. After we will calculate the factors of 41672 and 41688 and find the biggest common factor number .

Step-1: Prime Factorization of 41672

Prime factors of 41672 are 2, 5209. Prime factorization of 41672 in exponential form is:

41672 = 2³ × 5209¹

Step-2: 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-3: Factors of 41672

List of positive integer factors of 41672 that divides 41672 without a remainder.

1, 2, 4, 8, 5209, 10418, 20836

Step-4: Factors of 41688

List of positive integer factors of 41688 that divides 41672 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41672 and 41688. The biggest common factor number is the GCF number.
So the greatest common factor 41672 and 41688 is 8.

Also check out the Least Common Multiple of 41672 and 41688