What is the Greatest Common Factor of 11986 and 11996?

Greatest common factor (GCF) of 11986 and 11996 is 2.

GCF(11986,11996) = 2

We will now calculate the prime factors of 11986 and 11996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11986 and 11996.

How to find the GCF of 11986 and 11996?

We will first find the prime factorization of 11986 and 11996. After we will calculate the factors of 11986 and 11996 and find the biggest common factor number .

Step-1: Prime Factorization of 11986

Prime factors of 11986 are 2, 13, 461. Prime factorization of 11986 in exponential form is:

11986 = 2¹ × 13¹ × 461¹

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 11986

List of positive integer factors of 11986 that divides 11986 without a remainder.

1, 2, 13, 26, 461, 922, 5993

Step-4: Factors of 11996

List of positive integer factors of 11996 that divides 11986 without a remainder.

1, 2, 4, 2999, 5998

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11986 and 11996. The biggest common factor number is the GCF number.
So the greatest common factor 11986 and 11996 is 2.

Also check out the Least Common Multiple of 11986 and 11996