What is the Greatest Common Factor of 11940 and 11949?

Greatest common factor (GCF) of 11940 and 11949 is 3.

GCF(11940,11949) = 3

We will now calculate the prime factors of 11940 and 11949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11940 and 11949.

How to find the GCF of 11940 and 11949?

We will first find the prime factorization of 11940 and 11949. After we will calculate the factors of 11940 and 11949 and find the biggest common factor number .

Step-1: Prime Factorization of 11940

Prime factors of 11940 are 2, 3, 5, 199. Prime factorization of 11940 in exponential form is:

11940 = 2² × 3¹ × 5¹ × 199¹

Step-2: Prime Factorization of 11949

Prime factors of 11949 are 3, 7, 569. Prime factorization of 11949 in exponential form is:

11949 = 3¹ × 7¹ × 569¹

Step-3: Factors of 11940

List of positive integer factors of 11940 that divides 11940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 199, 398, 597, 796, 995, 1194, 1990, 2388, 2985, 3980, 5970

Step-4: Factors of 11949

List of positive integer factors of 11949 that divides 11940 without a remainder.

1, 3, 7, 21, 569, 1707, 3983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11940 and 11949. The biggest common factor number is the GCF number.
So the greatest common factor 11940 and 11949 is 3.

Also check out the Least Common Multiple of 11940 and 11949