What is the Greatest Common Factor of 41696 and 41714?

Greatest common factor (GCF) of 41696 and 41714 is 2.

GCF(41696,41714) = 2

We will now calculate the prime factors of 41696 and 41714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41696 and 41714.

How to find the GCF of 41696 and 41714?

We will first find the prime factorization of 41696 and 41714. After we will calculate the factors of 41696 and 41714 and find the biggest common factor number .

Step-1: Prime Factorization of 41696

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

41696 = 2⁵ × 1303¹

Step-2: Prime Factorization of 41714

Prime factors of 41714 are 2, 20857. Prime factorization of 41714 in exponential form is:

41714 = 2¹ × 20857¹

Step-3: Factors of 41696

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

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

Step-4: Factors of 41714

List of positive integer factors of 41714 that divides 41696 without a remainder.

1, 2, 20857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41696 and 41714. The biggest common factor number is the GCF number.
So the greatest common factor 41696 and 41714 is 2.

Also check out the Least Common Multiple of 41696 and 41714