What is the Greatest Common Factor of 11946 and 11958?

Greatest common factor (GCF) of 11946 and 11958 is 6.

GCF(11946,11958) = 6

We will now calculate the prime factors of 11946 and 11958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11946 and 11958.

How to find the GCF of 11946 and 11958?

We will first find the prime factorization of 11946 and 11958. After we will calculate the factors of 11946 and 11958 and find the biggest common factor number .

Step-1: Prime Factorization of 11946

Prime factors of 11946 are 2, 3, 11, 181. Prime factorization of 11946 in exponential form is:

11946 = 2¹ × 3¹ × 11¹ × 181¹

Step-2: 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-3: Factors of 11946

List of positive integer factors of 11946 that divides 11946 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 181, 362, 543, 1086, 1991, 3982, 5973

Step-4: Factors of 11958

List of positive integer factors of 11958 that divides 11946 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11946 and 11958. The biggest common factor number is the GCF number.
So the greatest common factor 11946 and 11958 is 6.

Also check out the Least Common Multiple of 11946 and 11958