What is the Greatest Common Factor of 32984 and 32992?

Greatest common factor (GCF) of 32984 and 32992 is 8.

GCF(32984,32992) = 8

We will now calculate the prime factors of 32984 and 32992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32984 and 32992.

How to find the GCF of 32984 and 32992?

We will first find the prime factorization of 32984 and 32992. After we will calculate the factors of 32984 and 32992 and find the biggest common factor number .

Step-1: Prime Factorization of 32984

Prime factors of 32984 are 2, 7, 19, 31. Prime factorization of 32984 in exponential form is:

32984 = 2³ × 7¹ × 19¹ × 31¹

Step-2: Prime Factorization of 32992

Prime factors of 32992 are 2, 1031. Prime factorization of 32992 in exponential form is:

32992 = 2⁵ × 1031¹

Step-3: Factors of 32984

List of positive integer factors of 32984 that divides 32984 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 31, 38, 56, 62, 76, 124, 133, 152, 217, 248, 266, 434, 532, 589, 868, 1064, 1178, 1736, 2356, 4123, 4712, 8246, 16492

Step-4: Factors of 32992

List of positive integer factors of 32992 that divides 32984 without a remainder.

1, 2, 4, 8, 16, 32, 1031, 2062, 4124, 8248, 16496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32984 and 32992. The biggest common factor number is the GCF number.
So the greatest common factor 32984 and 32992 is 8.

Also check out the Least Common Multiple of 32984 and 32992