What is the Greatest Common Factor of 41678 and 41682?

Greatest common factor (GCF) of 41678 and 41682 is 2.

GCF(41678,41682) = 2

We will now calculate the prime factors of 41678 and 41682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41678 and 41682.

How to find the GCF of 41678 and 41682?

We will first find the prime factorization of 41678 and 41682. After we will calculate the factors of 41678 and 41682 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 41682

Prime factors of 41682 are 2, 3, 6947. Prime factorization of 41682 in exponential form is:

41682 = 2¹ × 3¹ × 6947¹

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 41682

List of positive integer factors of 41682 that divides 41678 without a remainder.

1, 2, 3, 6, 6947, 13894, 20841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41678 and 41682. The biggest common factor number is the GCF number.
So the greatest common factor 41678 and 41682 is 2.

Also check out the Least Common Multiple of 41678 and 41682