What is the Greatest Common Factor of 41275 and 41288?

Greatest common factor (GCF) of 41275 and 41288 is 13.

GCF(41275,41288) = 13

We will now calculate the prime factors of 41275 and 41288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41275 and 41288.

How to find the GCF of 41275 and 41288?

We will first find the prime factorization of 41275 and 41288. After we will calculate the factors of 41275 and 41288 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41288

Prime factors of 41288 are 2, 13, 397. Prime factorization of 41288 in exponential form is:

41288 = 2³ × 13¹ × 397¹

Step-3: Factors of 41275

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

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

Step-4: Factors of 41288

List of positive integer factors of 41288 that divides 41275 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 397, 794, 1588, 3176, 5161, 10322, 20644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41275 and 41288. The biggest common factor number is the GCF number.
So the greatest common factor 41275 and 41288 is 13.

Also check out the Least Common Multiple of 41275 and 41288