What is the Greatest Common Factor of 982 and 988?

Greatest common factor (GCF) of 982 and 988 is 2.

GCF(982,988) = 2

We will now calculate the prime factors of 982 and 988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 982 and 988.

How to find the GCF of 982 and 988?

We will first find the prime factorization of 982 and 988. After we will calculate the factors of 982 and 988 and find the biggest common factor number .

Step-1: Prime Factorization of 982

Prime factors of 982 are 2, 491. Prime factorization of 982 in exponential form is:

982 = 2¹ × 491¹

Step-2: Prime Factorization of 988

Prime factors of 988 are 2, 13, 19. Prime factorization of 988 in exponential form is:

988 = 2² × 13¹ × 19¹

Step-3: Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1, 2, 491

Step-4: Factors of 988

List of positive integer factors of 988 that divides 982 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 982 and 988. The biggest common factor number is the GCF number.
So the greatest common factor 982 and 988 is 2.

Also check out the Least Common Multiple of 982 and 988