What is the Greatest Common Factor of 18984 and 18996?

Greatest common factor (GCF) of 18984 and 18996 is 12.

GCF(18984,18996) = 12

We will now calculate the prime factors of 18984 and 18996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18984 and 18996.

How to find the GCF of 18984 and 18996?

We will first find the prime factorization of 18984 and 18996. After we will calculate the factors of 18984 and 18996 and find the biggest common factor number .

Step-1: Prime Factorization of 18984

Prime factors of 18984 are 2, 3, 7, 113. Prime factorization of 18984 in exponential form is:

18984 = 2³ × 3¹ × 7¹ × 113¹

Step-2: Prime Factorization of 18996

Prime factors of 18996 are 2, 3, 1583. Prime factorization of 18996 in exponential form is:

18996 = 2² × 3¹ × 1583¹

Step-3: Factors of 18984

List of positive integer factors of 18984 that divides 18984 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 113, 168, 226, 339, 452, 678, 791, 904, 1356, 1582, 2373, 2712, 3164, 4746, 6328, 9492

Step-4: Factors of 18996

List of positive integer factors of 18996 that divides 18984 without a remainder.

1, 2, 3, 4, 6, 12, 1583, 3166, 4749, 6332, 9498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18984 and 18996. The biggest common factor number is the GCF number.
So the greatest common factor 18984 and 18996 is 12.

Also check out the Least Common Multiple of 18984 and 18996