What is the Greatest Common Factor of 11978 and 11990?

Greatest common factor (GCF) of 11978 and 11990 is 2.

GCF(11978,11990) = 2

We will now calculate the prime factors of 11978 and 11990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11978 and 11990.

How to find the GCF of 11978 and 11990?

We will first find the prime factorization of 11978 and 11990. After we will calculate the factors of 11978 and 11990 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 11990

Prime factors of 11990 are 2, 5, 11, 109. Prime factorization of 11990 in exponential form is:

11990 = 2¹ × 5¹ × 11¹ × 109¹

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 11990

List of positive integer factors of 11990 that divides 11978 without a remainder.

1, 2, 5, 10, 11, 22, 55, 109, 110, 218, 545, 1090, 1199, 2398, 5995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11978 and 11990. The biggest common factor number is the GCF number.
So the greatest common factor 11978 and 11990 is 2.

Also check out the Least Common Multiple of 11978 and 11990