What is the Greatest Common Factor of 11978 and 11992?

Greatest common factor (GCF) of 11978 and 11992 is 2.

GCF(11978,11992) = 2

We will now calculate the prime factors of 11978 and 11992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11978 and 11992.

How to find the GCF of 11978 and 11992?

We will first find the prime factorization of 11978 and 11992. After we will calculate the factors of 11978 and 11992 and find the biggest common factor number .

Step-1: Prime Factorization of 11978

Prime factors of 11978 are 2, 53, 113. Prime factorization of 11978 in exponential form is:

11978 = 2¹ × 53¹ × 113¹

Step-2: Prime Factorization of 11992

Prime factors of 11992 are 2, 1499. Prime factorization of 11992 in exponential form is:

11992 = 2³ × 1499¹

Step-3: Factors of 11978

List of positive integer factors of 11978 that divides 11978 without a remainder.

1, 2, 53, 106, 113, 226, 5989

Step-4: Factors of 11992

List of positive integer factors of 11992 that divides 11978 without a remainder.

1, 2, 4, 8, 1499, 2998, 5996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11978 and 11992. The biggest common factor number is the GCF number.
So the greatest common factor 11978 and 11992 is 2.

Also check out the Least Common Multiple of 11978 and 11992