What is the Greatest Common Factor of 41857 and 41875?

Greatest common factor (GCF) of 41857 and 41875 is 1.

GCF(41857,41875) = 1

We will now calculate the prime factors of 41857 and 41875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41857 and 41875.

How to find the GCF of 41857 and 41875?

We will first find the prime factorization of 41857 and 41875. After we will calculate the factors of 41857 and 41875 and find the biggest common factor number .

Step-1: Prime Factorization of 41857

Prime factors of 41857 are 19, 2203. Prime factorization of 41857 in exponential form is:

41857 = 19¹ × 2203¹

Step-2: Prime Factorization of 41875

Prime factors of 41875 are 5, 67. Prime factorization of 41875 in exponential form is:

41875 = 5⁴ × 67¹

Step-3: Factors of 41857

List of positive integer factors of 41857 that divides 41857 without a remainder.

1, 19, 2203

Step-4: Factors of 41875

List of positive integer factors of 41875 that divides 41857 without a remainder.

1, 5, 25, 67, 125, 335, 625, 1675, 8375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41857 and 41875. The biggest common factor number is the GCF number.
So the greatest common factor 41857 and 41875 is 1.

Also check out the Least Common Multiple of 41857 and 41875