What is the Greatest Common Factor of 11972 and 11978?

Greatest common factor (GCF) of 11972 and 11978 is 2.

GCF(11972,11978) = 2

We will now calculate the prime factors of 11972 and 11978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11972 and 11978.

How to find the GCF of 11972 and 11978?

We will first find the prime factorization of 11972 and 11978. After we will calculate the factors of 11972 and 11978 and find the biggest common factor number .

Step-1: Prime Factorization of 11972

Prime factors of 11972 are 2, 41, 73. Prime factorization of 11972 in exponential form is:

11972 = 2² × 41¹ × 73¹

Step-2: 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-3: Factors of 11972

List of positive integer factors of 11972 that divides 11972 without a remainder.

1, 2, 4, 41, 73, 82, 146, 164, 292, 2993, 5986

Step-4: Factors of 11978

List of positive integer factors of 11978 that divides 11972 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11972 and 11978. The biggest common factor number is the GCF number.
So the greatest common factor 11972 and 11978 is 2.

Also check out the Least Common Multiple of 11972 and 11978