What is the Greatest Common Factor of 41678 and 41691?

Greatest common factor (GCF) of 41678 and 41691 is 13.

GCF(41678,41691) = 13

We will now calculate the prime factors of 41678 and 41691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41678 and 41691.

How to find the GCF of 41678 and 41691?

We will first find the prime factorization of 41678 and 41691. After we will calculate the factors of 41678 and 41691 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41691

Prime factors of 41691 are 3, 13, 1069. Prime factorization of 41691 in exponential form is:

41691 = 3¹ × 13¹ × 1069¹

Step-3: Factors of 41678

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

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

Step-4: Factors of 41691

List of positive integer factors of 41691 that divides 41678 without a remainder.

1, 3, 13, 39, 1069, 3207, 13897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41678 and 41691. The biggest common factor number is the GCF number.
So the greatest common factor 41678 and 41691 is 13.

Also check out the Least Common Multiple of 41678 and 41691