What is the Greatest Common Factor of 11972 and 11980?

Greatest common factor (GCF) of 11972 and 11980 is 4.

GCF(11972,11980) = 4

We will now calculate the prime factors of 11972 and 11980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11972 and 11980.

How to find the GCF of 11972 and 11980?

We will first find the prime factorization of 11972 and 11980. After we will calculate the factors of 11972 and 11980 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 11980

Prime factors of 11980 are 2, 5, 599. Prime factorization of 11980 in exponential form is:

11980 = 2² × 5¹ × 599¹

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 11980

List of positive integer factors of 11980 that divides 11972 without a remainder.

1, 2, 4, 5, 10, 20, 599, 1198, 2396, 2995, 5990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11972 and 11980. The biggest common factor number is the GCF number.
So the greatest common factor 11972 and 11980 is 4.

Also check out the Least Common Multiple of 11972 and 11980