What is the Greatest Common Factor of 41984 and 41998?

Greatest common factor (GCF) of 41984 and 41998 is 2.

GCF(41984,41998) = 2

We will now calculate the prime factors of 41984 and 41998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41984 and 41998.

How to find the GCF of 41984 and 41998?

We will first find the prime factorization of 41984 and 41998. After we will calculate the factors of 41984 and 41998 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 41998

Prime factors of 41998 are 2, 11, 23, 83. Prime factorization of 41998 in exponential form is:

41998 = 2¹ × 11¹ × 23¹ × 83¹

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 41998

List of positive integer factors of 41998 that divides 41984 without a remainder.

1, 2, 11, 22, 23, 46, 83, 166, 253, 506, 913, 1826, 1909, 3818, 20999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41984 and 41998. The biggest common factor number is the GCF number.
So the greatest common factor 41984 and 41998 is 2.

Also check out the Least Common Multiple of 41984 and 41998