What is the Greatest Common Factor of 5974 and 5980?

Greatest common factor (GCF) of 5974 and 5980 is 2.

GCF(5974,5980) = 2

We will now calculate the prime factors of 5974 and 5980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5974 and 5980.

How to find the GCF of 5974 and 5980?

We will first find the prime factorization of 5974 and 5980. After we will calculate the factors of 5974 and 5980 and find the biggest common factor number .

Step-1: Prime Factorization of 5974

Prime factors of 5974 are 2, 29, 103. Prime factorization of 5974 in exponential form is:

5974 = 2¹ × 29¹ × 103¹

Step-2: Prime Factorization of 5980

Prime factors of 5980 are 2, 5, 13, 23. Prime factorization of 5980 in exponential form is:

5980 = 2² × 5¹ × 13¹ × 23¹

Step-3: Factors of 5974

List of positive integer factors of 5974 that divides 5974 without a remainder.

1, 2, 29, 58, 103, 206, 2987

Step-4: Factors of 5980

List of positive integer factors of 5980 that divides 5974 without a remainder.

1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5974 and 5980. The biggest common factor number is the GCF number.
So the greatest common factor 5974 and 5980 is 2.

Also check out the Least Common Multiple of 5974 and 5980