What is the Greatest Common Factor of 986 and 992?

Greatest common factor (GCF) of 986 and 992 is 2.

GCF(986,992) = 2

We will now calculate the prime factors of 986 and 992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 986 and 992.

How to find the GCF of 986 and 992?

We will first find the prime factorization of 986 and 992. After we will calculate the factors of 986 and 992 and find the biggest common factor number .

Step-1: Prime Factorization of 986

Prime factors of 986 are 2, 17, 29. Prime factorization of 986 in exponential form is:

986 = 2¹ × 17¹ × 29¹

Step-2: Prime Factorization of 992

Prime factors of 992 are 2, 31. Prime factorization of 992 in exponential form is:

992 = 2⁵ × 31¹

Step-3: Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493

Step-4: Factors of 992

List of positive integer factors of 992 that divides 986 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 986 and 992. The biggest common factor number is the GCF number.
So the greatest common factor 986 and 992 is 2.

Also check out the Least Common Multiple of 986 and 992