What is the Greatest Common Factor of 11958 and 11973?

Greatest common factor (GCF) of 11958 and 11973 is 3.

GCF(11958,11973) = 3

We will now calculate the prime factors of 11958 and 11973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11958 and 11973.

How to find the GCF of 11958 and 11973?

We will first find the prime factorization of 11958 and 11973. After we will calculate the factors of 11958 and 11973 and find the biggest common factor number .

Step-1: Prime Factorization of 11958

Prime factors of 11958 are 2, 3, 1993. Prime factorization of 11958 in exponential form is:

11958 = 2¹ × 3¹ × 1993¹

Step-2: Prime Factorization of 11973

Prime factors of 11973 are 3, 13, 307. Prime factorization of 11973 in exponential form is:

11973 = 3¹ × 13¹ × 307¹

Step-3: Factors of 11958

List of positive integer factors of 11958 that divides 11958 without a remainder.

1, 2, 3, 6, 1993, 3986, 5979

Step-4: Factors of 11973

List of positive integer factors of 11973 that divides 11958 without a remainder.

1, 3, 13, 39, 307, 921, 3991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11958 and 11973. The biggest common factor number is the GCF number.
So the greatest common factor 11958 and 11973 is 3.

Also check out the Least Common Multiple of 11958 and 11973