What is the Greatest Common Factor of 33984 and 33992?

Greatest common factor (GCF) of 33984 and 33992 is 8.

GCF(33984,33992) = 8

We will now calculate the prime factors of 33984 and 33992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33984 and 33992.

How to find the GCF of 33984 and 33992?

We will first find the prime factorization of 33984 and 33992. After we will calculate the factors of 33984 and 33992 and find the biggest common factor number .

Step-1: Prime Factorization of 33984

Prime factors of 33984 are 2, 3, 59. Prime factorization of 33984 in exponential form is:

33984 = 2⁶ × 3² × 59¹

Step-2: Prime Factorization of 33992

Prime factors of 33992 are 2, 7, 607. Prime factorization of 33992 in exponential form is:

33992 = 2³ × 7¹ × 607¹

Step-3: Factors of 33984

List of positive integer factors of 33984 that divides 33984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 59, 64, 72, 96, 118, 144, 177, 192, 236, 288, 354, 472, 531, 576, 708, 944, 1062, 1416, 1888, 2124, 2832, 3776, 4248, 5664, 8496, 11328, 16992

Step-4: Factors of 33992

List of positive integer factors of 33992 that divides 33984 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 607, 1214, 2428, 4249, 4856, 8498, 16996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33984 and 33992. The biggest common factor number is the GCF number.
So the greatest common factor 33984 and 33992 is 8.

Also check out the Least Common Multiple of 33984 and 33992