What is the Greatest Common Factor of 41872 and 41884?

Greatest common factor (GCF) of 41872 and 41884 is 4.

GCF(41872,41884) = 4

We will now calculate the prime factors of 41872 and 41884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41872 and 41884.

How to find the GCF of 41872 and 41884?

We will first find the prime factorization of 41872 and 41884. After we will calculate the factors of 41872 and 41884 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 41884

Prime factors of 41884 are 2, 37, 283. Prime factorization of 41884 in exponential form is:

41884 = 2² × 37¹ × 283¹

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 41884

List of positive integer factors of 41884 that divides 41872 without a remainder.

1, 2, 4, 37, 74, 148, 283, 566, 1132, 10471, 20942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41872 and 41884. The biggest common factor number is the GCF number.
So the greatest common factor 41872 and 41884 is 4.

Also check out the Least Common Multiple of 41872 and 41884