What is the Greatest Common Factor of 84162 and 84180?

Greatest common factor (GCF) of 84162 and 84180 is 6.

GCF(84162,84180) = 6

We will now calculate the prime factors of 84162 and 84180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84162 and 84180.

How to find the GCF of 84162 and 84180?

We will first find the prime factorization of 84162 and 84180. After we will calculate the factors of 84162 and 84180 and find the biggest common factor number .

Step-1: Prime Factorization of 84162

Prime factors of 84162 are 2, 3, 13, 83. Prime factorization of 84162 in exponential form is:

84162 = 2¹ × 3¹ × 13² × 83¹

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 84162

List of positive integer factors of 84162 that divides 84162 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 83, 166, 169, 249, 338, 498, 507, 1014, 1079, 2158, 3237, 6474, 14027, 28054, 42081

Step-4: Factors of 84180

List of positive integer factors of 84180 that divides 84162 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 84162 and 84180. The biggest common factor number is the GCF number.
So the greatest common factor 84162 and 84180 is 6.

Also check out the Least Common Multiple of 84162 and 84180