What is the Greatest Common Factor of 18972 and 18989?

Greatest common factor (GCF) of 18972 and 18989 is 17.

GCF(18972,18989) = 17

We will now calculate the prime factors of 18972 and 18989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18972 and 18989.

How to find the GCF of 18972 and 18989?

We will first find the prime factorization of 18972 and 18989. After we will calculate the factors of 18972 and 18989 and find the biggest common factor number .

Step-1: Prime Factorization of 18972

Prime factors of 18972 are 2, 3, 17, 31. Prime factorization of 18972 in exponential form is:

18972 = 2² × 3² × 17¹ × 31¹

Step-2: Prime Factorization of 18989

Prime factors of 18989 are 17, 1117. Prime factorization of 18989 in exponential form is:

18989 = 17¹ × 1117¹

Step-3: Factors of 18972

List of positive integer factors of 18972 that divides 18972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 31, 34, 36, 51, 62, 68, 93, 102, 124, 153, 186, 204, 279, 306, 372, 527, 558, 612, 1054, 1116, 1581, 2108, 3162, 4743, 6324, 9486

Step-4: Factors of 18989

List of positive integer factors of 18989 that divides 18972 without a remainder.

1, 17, 1117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18972 and 18989. The biggest common factor number is the GCF number.
So the greatest common factor 18972 and 18989 is 17.

Also check out the Least Common Multiple of 18972 and 18989