What is the Greatest Common Factor of 7982 and 7988?

Greatest common factor (GCF) of 7982 and 7988 is 2.

GCF(7982,7988) = 2

We will now calculate the prime factors of 7982 and 7988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7982 and 7988.

How to find the GCF of 7982 and 7988?

We will first find the prime factorization of 7982 and 7988. After we will calculate the factors of 7982 and 7988 and find the biggest common factor number .

Step-1: Prime Factorization of 7982

Prime factors of 7982 are 2, 13, 307. Prime factorization of 7982 in exponential form is:

7982 = 2¹ × 13¹ × 307¹

Step-2: Prime Factorization of 7988

Prime factors of 7988 are 2, 1997. Prime factorization of 7988 in exponential form is:

7988 = 2² × 1997¹

Step-3: Factors of 7982

List of positive integer factors of 7982 that divides 7982 without a remainder.

1, 2, 13, 26, 307, 614, 3991

Step-4: Factors of 7988

List of positive integer factors of 7988 that divides 7982 without a remainder.

1, 2, 4, 1997, 3994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7982 and 7988. The biggest common factor number is the GCF number.
So the greatest common factor 7982 and 7988 is 2.

Also check out the Least Common Multiple of 7982 and 7988