What is the Greatest Common Factor of 32978 and 32992?

Greatest common factor (GCF) of 32978 and 32992 is 2.

GCF(32978,32992) = 2

We will now calculate the prime factors of 32978 and 32992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32978 and 32992.

How to find the GCF of 32978 and 32992?

We will first find the prime factorization of 32978 and 32992. After we will calculate the factors of 32978 and 32992 and find the biggest common factor number .

Step-1: Prime Factorization of 32978

Prime factors of 32978 are 2, 11, 1499. Prime factorization of 32978 in exponential form is:

32978 = 2¹ × 11¹ × 1499¹

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 32978

List of positive integer factors of 32978 that divides 32978 without a remainder.

1, 2, 11, 22, 1499, 2998, 16489

Step-4: Factors of 32992

List of positive integer factors of 32992 that divides 32978 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 32978 and 32992. The biggest common factor number is the GCF number.
So the greatest common factor 32978 and 32992 is 2.

Also check out the Least Common Multiple of 32978 and 32992