What is the Greatest Common Factor of 11937 and 11946?

Greatest common factor (GCF) of 11937 and 11946 is 3.

GCF(11937,11946) = 3

We will now calculate the prime factors of 11937 and 11946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11937 and 11946.

How to find the GCF of 11937 and 11946?

We will first find the prime factorization of 11937 and 11946. After we will calculate the factors of 11937 and 11946 and find the biggest common factor number .

Step-1: Prime Factorization of 11937

Prime factors of 11937 are 3, 23, 173. Prime factorization of 11937 in exponential form is:

11937 = 3¹ × 23¹ × 173¹

Step-2: 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-3: Factors of 11937

List of positive integer factors of 11937 that divides 11937 without a remainder.

1, 3, 23, 69, 173, 519, 3979

Step-4: Factors of 11946

List of positive integer factors of 11946 that divides 11937 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11937 and 11946. The biggest common factor number is the GCF number.
So the greatest common factor 11937 and 11946 is 3.

Also check out the Least Common Multiple of 11937 and 11946