What is the Greatest Common Factor of 5964 and 5983?

Greatest common factor (GCF) of 5964 and 5983 is 1.

GCF(5964,5983) = 1

We will now calculate the prime factors of 5964 and 5983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5964 and 5983.

How to find the GCF of 5964 and 5983?

We will first find the prime factorization of 5964 and 5983. After we will calculate the factors of 5964 and 5983 and find the biggest common factor number .

Step-1: Prime Factorization of 5964

Prime factors of 5964 are 2, 3, 7, 71. Prime factorization of 5964 in exponential form is:

5964 = 2² × 3¹ × 7¹ × 71¹

Step-2: Prime Factorization of 5983

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

5983 = 31¹ × 193¹

Step-3: Factors of 5964

List of positive integer factors of 5964 that divides 5964 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982

Step-4: Factors of 5983

List of positive integer factors of 5983 that divides 5964 without a remainder.

1, 31, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5964 and 5983. The biggest common factor number is the GCF number.
So the greatest common factor 5964 and 5983 is 1.

Also check out the Least Common Multiple of 5964 and 5983