What is the Greatest Common Factor of 84150 and 84168?

Greatest common factor (GCF) of 84150 and 84168 is 18.

GCF(84150,84168) = 18

We will now calculate the prime factors of 84150 and 84168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84150 and 84168.

How to find the GCF of 84150 and 84168?

We will first find the prime factorization of 84150 and 84168. After we will calculate the factors of 84150 and 84168 and find the biggest common factor number .

Step-1: Prime Factorization of 84150

Prime factors of 84150 are 2, 3, 5, 11, 17. Prime factorization of 84150 in exponential form is:

84150 = 2¹ × 3² × 5² × 11¹ × 17¹

Step-2: Prime Factorization of 84168

Prime factors of 84168 are 2, 3, 7, 167. Prime factorization of 84168 in exponential form is:

84168 = 2³ × 3² × 7¹ × 167¹

Step-3: Factors of 84150

List of positive integer factors of 84150 that divides 84150 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 17, 18, 22, 25, 30, 33, 34, 45, 50, 51, 55, 66, 75, 85, 90, 99, 102, 110, 150, 153, 165, 170, 187, 198, 225, 255, 275, 306, 330, 374, 425, 450, 495, 510, 550, 561, 765, 825, 850, 935, 990, 1122, 1275, 1530, 1650, 1683, 1870, 2475, 2550, 2805, 3366, 3825, 4675, 4950, 5610, 7650, 8415, 9350, 14025, 16830, 28050, 42075

Step-4: Factors of 84168

List of positive integer factors of 84168 that divides 84150 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 167, 168, 252, 334, 501, 504, 668, 1002, 1169, 1336, 1503, 2004, 2338, 3006, 3507, 4008, 4676, 6012, 7014, 9352, 10521, 12024, 14028, 21042, 28056, 42084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84150 and 84168. The biggest common factor number is the GCF number.
So the greatest common factor 84150 and 84168 is 18.

Also check out the Least Common Multiple of 84150 and 84168