What is the Greatest Common Factor of 84009 and 84018?

Greatest common factor (GCF) of 84009 and 84018 is 3.

GCF(84009,84018) = 3

We will now calculate the prime factors of 84009 and 84018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84009 and 84018.

How to find the GCF of 84009 and 84018?

We will first find the prime factorization of 84009 and 84018. After we will calculate the factors of 84009 and 84018 and find the biggest common factor number .

Step-1: Prime Factorization of 84009

Prime factors of 84009 are 3, 41, 683. Prime factorization of 84009 in exponential form is:

84009 = 3¹ × 41¹ × 683¹

Step-2: Prime Factorization of 84018

Prime factors of 84018 are 2, 3, 11, 19, 67. Prime factorization of 84018 in exponential form is:

84018 = 2¹ × 3¹ × 11¹ × 19¹ × 67¹

Step-3: Factors of 84009

List of positive integer factors of 84009 that divides 84009 without a remainder.

1, 3, 41, 123, 683, 2049, 28003

Step-4: Factors of 84018

List of positive integer factors of 84018 that divides 84009 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 67, 114, 134, 201, 209, 402, 418, 627, 737, 1254, 1273, 1474, 2211, 2546, 3819, 4422, 7638, 14003, 28006, 42009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84009 and 84018. The biggest common factor number is the GCF number.
So the greatest common factor 84009 and 84018 is 3.

Also check out the Least Common Multiple of 84009 and 84018