What is the Greatest Common Factor of 41264 and 41275?

Greatest common factor (GCF) of 41264 and 41275 is 1.

GCF(41264,41275) = 1

We will now calculate the prime factors of 41264 and 41275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41264 and 41275.

How to find the GCF of 41264 and 41275?

We will first find the prime factorization of 41264 and 41275. After we will calculate the factors of 41264 and 41275 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 41275

Prime factors of 41275 are 5, 13, 127. Prime factorization of 41275 in exponential form is:

41275 = 5² × 13¹ × 127¹

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 41275

List of positive integer factors of 41275 that divides 41264 without a remainder.

1, 5, 13, 25, 65, 127, 325, 635, 1651, 3175, 8255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41264 and 41275. The biggest common factor number is the GCF number.
So the greatest common factor 41264 and 41275 is 1.

Also check out the Least Common Multiple of 41264 and 41275