What is the Greatest Common Factor of 84180 and 84190?

Greatest common factor (GCF) of 84180 and 84190 is 10.

GCF(84180,84190) = 10

We will now calculate the prime factors of 84180 and 84190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84180 and 84190.

How to find the GCF of 84180 and 84190?

We will first find the prime factorization of 84180 and 84190. After we will calculate the factors of 84180 and 84190 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 84190

Prime factors of 84190 are 2, 5, 8419. Prime factorization of 84190 in exponential form is:

84190 = 2¹ × 5¹ × 8419¹

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 84190

List of positive integer factors of 84190 that divides 84180 without a remainder.

1, 2, 5, 10, 8419, 16838, 42095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84180 and 84190. The biggest common factor number is the GCF number.
So the greatest common factor 84180 and 84190 is 10.

Also check out the Least Common Multiple of 84180 and 84190