What is the Greatest Common Factor of 5974 and 5989?

Greatest common factor (GCF) of 5974 and 5989 is 1.

GCF(5974,5989) = 1

We will now calculate the prime factors of 5974 and 5989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5974 and 5989.

How to find the GCF of 5974 and 5989?

We will first find the prime factorization of 5974 and 5989. After we will calculate the factors of 5974 and 5989 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 5989

Prime factors of 5989 are 53, 113. Prime factorization of 5989 in exponential form is:

5989 = 53¹ × 113¹

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 5989

List of positive integer factors of 5989 that divides 5974 without a remainder.

1, 53, 113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5974 and 5989. The biggest common factor number is the GCF number.
So the greatest common factor 5974 and 5989 is 1.

Also check out the Least Common Multiple of 5974 and 5989