What is the Greatest Common Factor of 41264 and 41279?

Greatest common factor (GCF) of 41264 and 41279 is 1.

GCF(41264,41279) = 1

We will now calculate the prime factors of 41264 and 41279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41264 and 41279.

How to find the GCF of 41264 and 41279?

We will first find the prime factorization of 41264 and 41279. After we will calculate the factors of 41264 and 41279 and find the biggest common factor number .

Step-1: Prime Factorization of 41264

Prime factors of 41264 are 2, 2579. Prime factorization of 41264 in exponential form is:

41264 = 2⁴ × 2579¹

Step-2: Prime Factorization of 41279

Prime factors of 41279 are 7, 5897. Prime factorization of 41279 in exponential form is:

41279 = 7¹ × 5897¹

Step-3: Factors of 41264

List of positive integer factors of 41264 that divides 41264 without a remainder.

1, 2, 4, 8, 16, 2579, 5158, 10316, 20632

Step-4: Factors of 41279

List of positive integer factors of 41279 that divides 41264 without a remainder.

1, 7, 5897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41264 and 41279. The biggest common factor number is the GCF number.
So the greatest common factor 41264 and 41279 is 1.

Also check out the Least Common Multiple of 41264 and 41279