What is the Greatest Common Factor of 7969 and 7982?

Greatest common factor (GCF) of 7969 and 7982 is 13.

GCF(7969,7982) = 13

We will now calculate the prime factors of 7969 and 7982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7969 and 7982.

How to find the GCF of 7969 and 7982?

We will first find the prime factorization of 7969 and 7982. After we will calculate the factors of 7969 and 7982 and find the biggest common factor number .

Step-1: Prime Factorization of 7969

Prime factors of 7969 are 13, 613. Prime factorization of 7969 in exponential form is:

7969 = 13¹ × 613¹

Step-2: 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-3: Factors of 7969

List of positive integer factors of 7969 that divides 7969 without a remainder.

1, 13, 613

Step-4: Factors of 7982

List of positive integer factors of 7982 that divides 7969 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7969 and 7982. The biggest common factor number is the GCF number.
So the greatest common factor 7969 and 7982 is 13.

Also check out the Least Common Multiple of 7969 and 7982