What is the Greatest Common Factor of 18984 and 19002?

Greatest common factor (GCF) of 18984 and 19002 is 6.

GCF(18984,19002) = 6

We will now calculate the prime factors of 18984 and 19002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18984 and 19002.

How to find the GCF of 18984 and 19002?

We will first find the prime factorization of 18984 and 19002. After we will calculate the factors of 18984 and 19002 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 19002

Prime factors of 19002 are 2, 3, 3167. Prime factorization of 19002 in exponential form is:

19002 = 2¹ × 3¹ × 3167¹

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 19002

List of positive integer factors of 19002 that divides 18984 without a remainder.

1, 2, 3, 6, 3167, 6334, 9501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18984 and 19002. The biggest common factor number is the GCF number.
So the greatest common factor 18984 and 19002 is 6.

Also check out the Least Common Multiple of 18984 and 19002