What is the Greatest Common Factor of 41275 and 41289?

Greatest common factor (GCF) of 41275 and 41289 is 1.

GCF(41275,41289) = 1

We will now calculate the prime factors of 41275 and 41289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41275 and 41289.

How to find the GCF of 41275 and 41289?

We will first find the prime factorization of 41275 and 41289. After we will calculate the factors of 41275 and 41289 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 41289

Prime factors of 41289 are 3, 13763. Prime factorization of 41289 in exponential form is:

41289 = 3¹ × 13763¹

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 41289

List of positive integer factors of 41289 that divides 41275 without a remainder.

1, 3, 13763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41275 and 41289. The biggest common factor number is the GCF number.
So the greatest common factor 41275 and 41289 is 1.

Also check out the Least Common Multiple of 41275 and 41289