What is the Greatest Common Factor of 41674 and 41688?

Greatest common factor (GCF) of 41674 and 41688 is 2.

GCF(41674,41688) = 2

We will now calculate the prime factors of 41674 and 41688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41674 and 41688.

How to find the GCF of 41674 and 41688?

We will first find the prime factorization of 41674 and 41688. After we will calculate the factors of 41674 and 41688 and find the biggest common factor number .

Step-1: Prime Factorization of 41674

Prime factors of 41674 are 2, 67, 311. Prime factorization of 41674 in exponential form is:

41674 = 2¹ × 67¹ × 311¹

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 41674

List of positive integer factors of 41674 that divides 41674 without a remainder.

1, 2, 67, 134, 311, 622, 20837

Step-4: Factors of 41688

List of positive integer factors of 41688 that divides 41674 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 41674 and 41688. The biggest common factor number is the GCF number.
So the greatest common factor 41674 and 41688 is 2.

Also check out the Least Common Multiple of 41674 and 41688