What is the Greatest Common Factor of 41264 and 41284?

Greatest common factor (GCF) of 41264 and 41284 is 4.

GCF(41264,41284) = 4

We will now calculate the prime factors of 41264 and 41284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41264 and 41284.

How to find the GCF of 41264 and 41284?

We will first find the prime factorization of 41264 and 41284. After we will calculate the factors of 41264 and 41284 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 41284

Prime factors of 41284 are 2, 10321. Prime factorization of 41284 in exponential form is:

41284 = 2² × 10321¹

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 41284

List of positive integer factors of 41284 that divides 41264 without a remainder.

1, 2, 4, 10321, 20642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41264 and 41284. The biggest common factor number is the GCF number.
So the greatest common factor 41264 and 41284 is 4.

Also check out the Least Common Multiple of 41264 and 41284