What is the Greatest Common Factor of 11978 and 11993?

Greatest common factor (GCF) of 11978 and 11993 is 1.

GCF(11978,11993) = 1

We will now calculate the prime factors of 11978 and 11993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11978 and 11993.

How to find the GCF of 11978 and 11993?

We will first find the prime factorization of 11978 and 11993. After we will calculate the factors of 11978 and 11993 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 11993

Prime factors of 11993 are 67, 179. Prime factorization of 11993 in exponential form is:

11993 = 67¹ × 179¹

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 11993

List of positive integer factors of 11993 that divides 11978 without a remainder.

1, 67, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11978 and 11993. The biggest common factor number is the GCF number.
So the greatest common factor 11978 and 11993 is 1.

Also check out the Least Common Multiple of 11978 and 11993