What is the Greatest Common Factor of 41674 and 41678?

Greatest common factor (GCF) of 41674 and 41678 is 2.

GCF(41674,41678) = 2

We will now calculate the prime factors of 41674 and 41678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41674 and 41678.

How to find the GCF of 41674 and 41678?

We will first find the prime factorization of 41674 and 41678. After we will calculate the factors of 41674 and 41678 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 41678

Prime factors of 41678 are 2, 7, 13, 229. Prime factorization of 41678 in exponential form is:

41678 = 2¹ × 7¹ × 13¹ × 229¹

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 41678

List of positive integer factors of 41678 that divides 41674 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 229, 458, 1603, 2977, 3206, 5954, 20839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41674 and 41678. The biggest common factor number is the GCF number.
So the greatest common factor 41674 and 41678 is 2.

Also check out the Least Common Multiple of 41674 and 41678