What is the Greatest Common Factor of 41696 and 41707?

Greatest common factor (GCF) of 41696 and 41707 is 1.

GCF(41696,41707) = 1

We will now calculate the prime factors of 41696 and 41707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41696 and 41707.

How to find the GCF of 41696 and 41707?

We will first find the prime factorization of 41696 and 41707. After we will calculate the factors of 41696 and 41707 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 41707

Prime factors of 41707 are 179, 233. Prime factorization of 41707 in exponential form is:

41707 = 179¹ × 233¹

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 41707

List of positive integer factors of 41707 that divides 41696 without a remainder.

1, 179, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41696 and 41707. The biggest common factor number is the GCF number.
So the greatest common factor 41696 and 41707 is 1.

Also check out the Least Common Multiple of 41696 and 41707