What is the Greatest Common Factor of 7982 and 8002?

Greatest common factor (GCF) of 7982 and 8002 is 2.

GCF(7982,8002) = 2

We will now calculate the prime factors of 7982 and 8002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7982 and 8002.

How to find the GCF of 7982 and 8002?

We will first find the prime factorization of 7982 and 8002. After we will calculate the factors of 7982 and 8002 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 8002

Prime factors of 8002 are 2, 4001. Prime factorization of 8002 in exponential form is:

8002 = 2¹ × 4001¹

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 8002

List of positive integer factors of 8002 that divides 7982 without a remainder.

1, 2, 4001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7982 and 8002. The biggest common factor number is the GCF number.
So the greatest common factor 7982 and 8002 is 2.

Also check out the Least Common Multiple of 7982 and 8002