What is the Greatest Common Factor of 41984 and 41996?

Greatest common factor (GCF) of 41984 and 41996 is 4.

GCF(41984,41996) = 4

We will now calculate the prime factors of 41984 and 41996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41984 and 41996.

How to find the GCF of 41984 and 41996?

We will first find the prime factorization of 41984 and 41996. After we will calculate the factors of 41984 and 41996 and find the biggest common factor number .

Step-1: Prime Factorization of 41984

Prime factors of 41984 are 2, 41. Prime factorization of 41984 in exponential form is:

41984 = 2¹⁰ × 41¹

Step-2: Prime Factorization of 41996

Prime factors of 41996 are 2, 10499. Prime factorization of 41996 in exponential form is:

41996 = 2² × 10499¹

Step-3: Factors of 41984

List of positive integer factors of 41984 that divides 41984 without a remainder.

1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 256, 328, 512, 656, 1024, 1312, 2624, 5248, 10496, 20992

Step-4: Factors of 41996

List of positive integer factors of 41996 that divides 41984 without a remainder.

1, 2, 4, 10499, 20998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41984 and 41996. The biggest common factor number is the GCF number.
So the greatest common factor 41984 and 41996 is 4.

Also check out the Least Common Multiple of 41984 and 41996