What is the Greatest Common Factor of 90984 and 90992?

Greatest common factor (GCF) of 90984 and 90992 is 8.

GCF(90984,90992) = 8

We will now calculate the prime factors of 90984 and 90992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90984 and 90992.

How to find the GCF of 90984 and 90992?

We will first find the prime factorization of 90984 and 90992. After we will calculate the factors of 90984 and 90992 and find the biggest common factor number .

Step-1: Prime Factorization of 90984

Prime factors of 90984 are 2, 3, 17, 223. Prime factorization of 90984 in exponential form is:

90984 = 2³ × 3¹ × 17¹ × 223¹

Step-2: Prime Factorization of 90992

Prime factors of 90992 are 2, 11, 47. Prime factorization of 90992 in exponential form is:

90992 = 2⁴ × 11² × 47¹

Step-3: Factors of 90984

List of positive integer factors of 90984 that divides 90984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 223, 408, 446, 669, 892, 1338, 1784, 2676, 3791, 5352, 7582, 11373, 15164, 22746, 30328, 45492

Step-4: Factors of 90992

List of positive integer factors of 90992 that divides 90984 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 121, 176, 188, 242, 376, 484, 517, 752, 968, 1034, 1936, 2068, 4136, 5687, 8272, 11374, 22748, 45496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90984 and 90992. The biggest common factor number is the GCF number.
So the greatest common factor 90984 and 90992 is 8.

Also check out the Least Common Multiple of 90984 and 90992