What is the Greatest Common Factor of 41678 and 41696?

Greatest common factor (GCF) of 41678 and 41696 is 2.

GCF(41678,41696) = 2

We will now calculate the prime factors of 41678 and 41696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41678 and 41696.

How to find the GCF of 41678 and 41696?

We will first find the prime factorization of 41678 and 41696. After we will calculate the factors of 41678 and 41696 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 41696

Prime factors of 41696 are 2, 1303. Prime factorization of 41696 in exponential form is:

41696 = 2⁵ × 1303¹

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 41696

List of positive integer factors of 41696 that divides 41678 without a remainder.

1, 2, 4, 8, 16, 32, 1303, 2606, 5212, 10424, 20848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41678 and 41696. The biggest common factor number is the GCF number.
So the greatest common factor 41678 and 41696 is 2.

Also check out the Least Common Multiple of 41678 and 41696