What is the Greatest Common Factor of 7974 and 7990?

Greatest common factor (GCF) of 7974 and 7990 is 2.

GCF(7974,7990) = 2

We will now calculate the prime factors of 7974 and 7990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7974 and 7990.

How to find the GCF of 7974 and 7990?

We will first find the prime factorization of 7974 and 7990. After we will calculate the factors of 7974 and 7990 and find the biggest common factor number .

Step-1: Prime Factorization of 7974

Prime factors of 7974 are 2, 3, 443. Prime factorization of 7974 in exponential form is:

7974 = 2¹ × 3² × 443¹

Step-2: Prime Factorization of 7990

Prime factors of 7990 are 2, 5, 17, 47. Prime factorization of 7990 in exponential form is:

7990 = 2¹ × 5¹ × 17¹ × 47¹

Step-3: Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1, 2, 3, 6, 9, 18, 443, 886, 1329, 2658, 3987

Step-4: Factors of 7990

List of positive integer factors of 7990 that divides 7974 without a remainder.

1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7974 and 7990. The biggest common factor number is the GCF number.
So the greatest common factor 7974 and 7990 is 2.

Also check out the Least Common Multiple of 7974 and 7990