What is the Greatest Common Factor of 41264 and 41278?

Greatest common factor (GCF) of 41264 and 41278 is 2.

GCF(41264,41278) = 2

We will now calculate the prime factors of 41264 and 41278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41264 and 41278.

How to find the GCF of 41264 and 41278?

We will first find the prime factorization of 41264 and 41278. After we will calculate the factors of 41264 and 41278 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 41278

Prime factors of 41278 are 2, 20639. Prime factorization of 41278 in exponential form is:

41278 = 2¹ × 20639¹

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 41278

List of positive integer factors of 41278 that divides 41264 without a remainder.

1, 2, 20639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41264 and 41278. The biggest common factor number is the GCF number.
So the greatest common factor 41264 and 41278 is 2.

Also check out the Least Common Multiple of 41264 and 41278