What is the Greatest Common Factor of 41889 and 41909?

Greatest common factor (GCF) of 41889 and 41909 is 1.

GCF(41889,41909) = 1

We will now calculate the prime factors of 41889 and 41909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41889 and 41909.

How to find the GCF of 41889 and 41909?

We will first find the prime factorization of 41889 and 41909. After we will calculate the factors of 41889 and 41909 and find the biggest common factor number .

Step-1: Prime Factorization of 41889

Prime factors of 41889 are 3, 13963. Prime factorization of 41889 in exponential form is:

41889 = 3¹ × 13963¹

Step-2: Prime Factorization of 41909

Prime factors of 41909 are 7, 5987. Prime factorization of 41909 in exponential form is:

41909 = 7¹ × 5987¹

Step-3: Factors of 41889

List of positive integer factors of 41889 that divides 41889 without a remainder.

1, 3, 13963

Step-4: Factors of 41909

List of positive integer factors of 41909 that divides 41889 without a remainder.

1, 7, 5987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41889 and 41909. The biggest common factor number is the GCF number.
So the greatest common factor 41889 and 41909 is 1.

Also check out the Least Common Multiple of 41889 and 41909