What is the Greatest Common Factor of 41852 and 41872?

Greatest common factor (GCF) of 41852 and 41872 is 4.

GCF(41852,41872) = 4

We will now calculate the prime factors of 41852 and 41872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41852 and 41872.

How to find the GCF of 41852 and 41872?

We will first find the prime factorization of 41852 and 41872. After we will calculate the factors of 41852 and 41872 and find the biggest common factor number .

Step-1: Prime Factorization of 41852

Prime factors of 41852 are 2, 10463. Prime factorization of 41852 in exponential form is:

41852 = 2² × 10463¹

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 41852

List of positive integer factors of 41852 that divides 41852 without a remainder.

1, 2, 4, 10463, 20926

Step-4: Factors of 41872

List of positive integer factors of 41872 that divides 41852 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 41852 and 41872. The biggest common factor number is the GCF number.
So the greatest common factor 41852 and 41872 is 4.

Also check out the Least Common Multiple of 41852 and 41872