What is the Greatest Common Factor of 41872 and 41891?

Greatest common factor (GCF) of 41872 and 41891 is 1.

GCF(41872,41891) = 1

We will now calculate the prime factors of 41872 and 41891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41872 and 41891.

How to find the GCF of 41872 and 41891?

We will first find the prime factorization of 41872 and 41891. After we will calculate the factors of 41872 and 41891 and find the biggest common factor number .

Step-1: Prime Factorization of 41872

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

41872 = 2⁴ × 2617¹

Step-2: Prime Factorization of 41891

Prime factors of 41891 are 163, 257. Prime factorization of 41891 in exponential form is:

41891 = 163¹ × 257¹

Step-3: Factors of 41872

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

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

Step-4: Factors of 41891

List of positive integer factors of 41891 that divides 41872 without a remainder.

1, 163, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41872 and 41891. The biggest common factor number is the GCF number.
So the greatest common factor 41872 and 41891 is 1.

Also check out the Least Common Multiple of 41872 and 41891