What is the Greatest Common Factor of 41865 and 41872?

Greatest common factor (GCF) of 41865 and 41872 is 1.

GCF(41865,41872) = 1

We will now calculate the prime factors of 41865 and 41872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41865 and 41872.

How to find the GCF of 41865 and 41872?

We will first find the prime factorization of 41865 and 41872. After we will calculate the factors of 41865 and 41872 and find the biggest common factor number .

Step-1: Prime Factorization of 41865

Prime factors of 41865 are 3, 5, 2791. Prime factorization of 41865 in exponential form is:

41865 = 3¹ × 5¹ × 2791¹

Step-2: Prime Factorization of 41872

Prime factors of 41872 are 2, 2617. Prime factorization of 41872 in exponential form is:

41872 = 2⁴ × 2617¹

Step-3: Factors of 41865

List of positive integer factors of 41865 that divides 41865 without a remainder.

1, 3, 5, 15, 2791, 8373, 13955

Step-4: Factors of 41872

List of positive integer factors of 41872 that divides 41865 without a remainder.

1, 2, 4, 8, 16, 2617, 5234, 10468, 20936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41865 and 41872. The biggest common factor number is the GCF number.
So the greatest common factor 41865 and 41872 is 1.

Also check out the Least Common Multiple of 41865 and 41872