What is the Greatest Common Factor of 84180 and 84192?

Greatest common factor (GCF) of 84180 and 84192 is 12.

GCF(84180,84192) = 12

We will now calculate the prime factors of 84180 and 84192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84180 and 84192.

How to find the GCF of 84180 and 84192?

We will first find the prime factorization of 84180 and 84192. After we will calculate the factors of 84180 and 84192 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84192

Prime factors of 84192 are 2, 3, 877. Prime factorization of 84192 in exponential form is:

84192 = 2⁵ × 3¹ × 877¹

Step-3: Factors of 84180

List of positive integer factors of 84180 that divides 84180 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

Step-4: Factors of 84192

List of positive integer factors of 84192 that divides 84180 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 877, 1754, 2631, 3508, 5262, 7016, 10524, 14032, 21048, 28064, 42096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84180 and 84192. The biggest common factor number is the GCF number.
So the greatest common factor 84180 and 84192 is 12.

Also check out the Least Common Multiple of 84180 and 84192