What is the Greatest Common Factor of 84180 and 84184?

Greatest common factor (GCF) of 84180 and 84184 is 4.

GCF(84180,84184) = 4

We will now calculate the prime factors of 84180 and 84184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84180 and 84184.

How to find the GCF of 84180 and 84184?

We will first find the prime factorization of 84180 and 84184. After we will calculate the factors of 84180 and 84184 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 84184

Prime factors of 84184 are 2, 17, 619. Prime factorization of 84184 in exponential form is:

84184 = 2³ × 17¹ × 619¹

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 84184

List of positive integer factors of 84184 that divides 84180 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 619, 1238, 2476, 4952, 10523, 21046, 42092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84180 and 84184. The biggest common factor number is the GCF number.
So the greatest common factor 84180 and 84184 is 4.

Also check out the Least Common Multiple of 84180 and 84184