What is the Greatest Common Factor of 986 and 1002?

Greatest common factor (GCF) of 986 and 1002 is 2.

GCF(986,1002) = 2

We will now calculate the prime factors of 986 and 1002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 986 and 1002.

How to find the GCF of 986 and 1002?

We will first find the prime factorization of 986 and 1002. After we will calculate the factors of 986 and 1002 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 1002

Prime factors of 1002 are 2, 3, 167. Prime factorization of 1002 in exponential form is:

1002 = 2¹ × 3¹ × 167¹

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 1002

List of positive integer factors of 1002 that divides 986 without a remainder.

1, 2, 3, 6, 167, 334, 501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 986 and 1002. The biggest common factor number is the GCF number.
So the greatest common factor 986 and 1002 is 2.

Also check out the Least Common Multiple of 986 and 1002