What is the Greatest Common Factor of 5974 and 5981?

Greatest common factor (GCF) of 5974 and 5981 is 1.

GCF(5974,5981) = 1

We will now calculate the prime factors of 5974 and 5981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5974 and 5981.

How to find the GCF of 5974 and 5981?

We will first find the prime factorization of 5974 and 5981. After we will calculate the factors of 5974 and 5981 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 5981

Prime factors of 5981 are 5981. Prime factorization of 5981 in exponential form is:

5981 = 5981¹

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 5981

List of positive integer factors of 5981 that divides 5974 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5974 and 5981. The biggest common factor number is the GCF number.
So the greatest common factor 5974 and 5981 is 1.

Also check out the Least Common Multiple of 5974 and 5981