What is the Greatest Common Factor of 5973 and 5979?

Greatest common factor (GCF) of 5973 and 5979 is 3.

GCF(5973,5979) = 3

We will now calculate the prime factors of 5973 and 5979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5973 and 5979.

How to find the GCF of 5973 and 5979?

We will first find the prime factorization of 5973 and 5979. After we will calculate the factors of 5973 and 5979 and find the biggest common factor number .

Step-1: Prime Factorization of 5973

Prime factors of 5973 are 3, 11, 181. Prime factorization of 5973 in exponential form is:

5973 = 3¹ × 11¹ × 181¹

Step-2: Prime Factorization of 5979

Prime factors of 5979 are 3, 1993. Prime factorization of 5979 in exponential form is:

5979 = 3¹ × 1993¹

Step-3: Factors of 5973

List of positive integer factors of 5973 that divides 5973 without a remainder.

1, 3, 11, 33, 181, 543, 1991

Step-4: Factors of 5979

List of positive integer factors of 5979 that divides 5973 without a remainder.

1, 3, 1993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5973 and 5979. The biggest common factor number is the GCF number.
So the greatest common factor 5973 and 5979 is 3.

Also check out the Least Common Multiple of 5973 and 5979