What is the Greatest Common Factor of 5983 and 5992?

Greatest common factor (GCF) of 5983 and 5992 is 1.

GCF(5983,5992) = 1

We will now calculate the prime factors of 5983 and 5992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5983 and 5992.

How to find the GCF of 5983 and 5992?

We will first find the prime factorization of 5983 and 5992. After we will calculate the factors of 5983 and 5992 and find the biggest common factor number .

Step-1: Prime Factorization of 5983

Prime factors of 5983 are 31, 193. Prime factorization of 5983 in exponential form is:

5983 = 31¹ × 193¹

Step-2: Prime Factorization of 5992

Prime factors of 5992 are 2, 7, 107. Prime factorization of 5992 in exponential form is:

5992 = 2³ × 7¹ × 107¹

Step-3: Factors of 5983

List of positive integer factors of 5983 that divides 5983 without a remainder.

1, 31, 193

Step-4: Factors of 5992

List of positive integer factors of 5992 that divides 5983 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5983 and 5992. The biggest common factor number is the GCF number.
So the greatest common factor 5983 and 5992 is 1.

Also check out the Least Common Multiple of 5983 and 5992