What is the Greatest Common Factor of 11949 and 11964?

Greatest common factor (GCF) of 11949 and 11964 is 3.

GCF(11949,11964) = 3

We will now calculate the prime factors of 11949 and 11964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11949 and 11964.

How to find the GCF of 11949 and 11964?

We will first find the prime factorization of 11949 and 11964. After we will calculate the factors of 11949 and 11964 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11964

Prime factors of 11964 are 2, 3, 997. Prime factorization of 11964 in exponential form is:

11964 = 2² × 3¹ × 997¹

Step-3: Factors of 11949

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

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

Step-4: Factors of 11964

List of positive integer factors of 11964 that divides 11949 without a remainder.

1, 2, 3, 4, 6, 12, 997, 1994, 2991, 3988, 5982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11949 and 11964. The biggest common factor number is the GCF number.
So the greatest common factor 11949 and 11964 is 3.

Also check out the Least Common Multiple of 11949 and 11964