What is the Greatest Common Factor of 11874 and 11892?

Greatest common factor (GCF) of 11874 and 11892 is 6.

GCF(11874,11892) = 6

We will now calculate the prime factors of 11874 and 11892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11874 and 11892.

How to find the GCF of 11874 and 11892?

We will first find the prime factorization of 11874 and 11892. After we will calculate the factors of 11874 and 11892 and find the biggest common factor number .

Step-1: Prime Factorization of 11874

Prime factors of 11874 are 2, 3, 1979. Prime factorization of 11874 in exponential form is:

11874 = 2¹ × 3¹ × 1979¹

Step-2: Prime Factorization of 11892

Prime factors of 11892 are 2, 3, 991. Prime factorization of 11892 in exponential form is:

11892 = 2² × 3¹ × 991¹

Step-3: Factors of 11874

List of positive integer factors of 11874 that divides 11874 without a remainder.

1, 2, 3, 6, 1979, 3958, 5937

Step-4: Factors of 11892

List of positive integer factors of 11892 that divides 11874 without a remainder.

1, 2, 3, 4, 6, 12, 991, 1982, 2973, 3964, 5946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11874 and 11892. The biggest common factor number is the GCF number.
So the greatest common factor 11874 and 11892 is 6.

Also check out the Least Common Multiple of 11874 and 11892