What is the Greatest Common Factor of 11978 and 11996?

Greatest common factor (GCF) of 11978 and 11996 is 2.

GCF(11978,11996) = 2

We will now calculate the prime factors of 11978 and 11996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11978 and 11996.

How to find the GCF of 11978 and 11996?

We will first find the prime factorization of 11978 and 11996. After we will calculate the factors of 11978 and 11996 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 11996

Prime factors of 11996 are 2, 2999. Prime factorization of 11996 in exponential form is:

11996 = 2² × 2999¹

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 11996

List of positive integer factors of 11996 that divides 11978 without a remainder.

1, 2, 4, 2999, 5998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11978 and 11996. The biggest common factor number is the GCF number.
So the greatest common factor 11978 and 11996 is 2.

Also check out the Least Common Multiple of 11978 and 11996