What is the Greatest Common Factor of 11946 and 11955?

Greatest common factor (GCF) of 11946 and 11955 is 3.

GCF(11946,11955) = 3

We will now calculate the prime factors of 11946 and 11955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11946 and 11955.

How to find the GCF of 11946 and 11955?

We will first find the prime factorization of 11946 and 11955. After we will calculate the factors of 11946 and 11955 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 11955

Prime factors of 11955 are 3, 5, 797. Prime factorization of 11955 in exponential form is:

11955 = 3¹ × 5¹ × 797¹

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 11955

List of positive integer factors of 11955 that divides 11946 without a remainder.

1, 3, 5, 15, 797, 2391, 3985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11946 and 11955. The biggest common factor number is the GCF number.
So the greatest common factor 11946 and 11955 is 3.

Also check out the Least Common Multiple of 11946 and 11955