What is the Greatest Common Factor of 84168 and 84180?

Greatest common factor (GCF) of 84168 and 84180 is 12.

GCF(84168,84180) = 12

We will now calculate the prime factors of 84168 and 84180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84168 and 84180.

How to find the GCF of 84168 and 84180?

We will first find the prime factorization of 84168 and 84180. After we will calculate the factors of 84168 and 84180 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84180

Prime factors of 84180 are 2, 3, 5, 23, 61. Prime factorization of 84180 in exponential form is:

84180 = 2² × 3¹ × 5¹ × 23¹ × 61¹

Step-3: Factors of 84168

List of positive integer factors of 84168 that divides 84168 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

Step-4: Factors of 84180

List of positive integer factors of 84180 that divides 84168 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 61, 69, 92, 115, 122, 138, 183, 230, 244, 276, 305, 345, 366, 460, 610, 690, 732, 915, 1220, 1380, 1403, 1830, 2806, 3660, 4209, 5612, 7015, 8418, 14030, 16836, 21045, 28060, 42090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84168 and 84180. The biggest common factor number is the GCF number.
So the greatest common factor 84168 and 84180 is 12.

Also check out the Least Common Multiple of 84168 and 84180