What is the Greatest Common Factor of 84285 and 84300?

Greatest common factor (GCF) of 84285 and 84300 is 15.

GCF(84285,84300) = 15

We will now calculate the prime factors of 84285 and 84300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84285 and 84300.

How to find the GCF of 84285 and 84300?

We will first find the prime factorization of 84285 and 84300. After we will calculate the factors of 84285 and 84300 and find the biggest common factor number .

Step-1: Prime Factorization of 84285

Prime factors of 84285 are 3, 5, 1873. Prime factorization of 84285 in exponential form is:

84285 = 3² × 5¹ × 1873¹

Step-2: Prime Factorization of 84300

Prime factors of 84300 are 2, 3, 5, 281. Prime factorization of 84300 in exponential form is:

84300 = 2² × 3¹ × 5² × 281¹

Step-3: Factors of 84285

List of positive integer factors of 84285 that divides 84285 without a remainder.

1, 3, 5, 9, 15, 45, 1873, 5619, 9365, 16857, 28095

Step-4: Factors of 84300

List of positive integer factors of 84300 that divides 84285 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 281, 300, 562, 843, 1124, 1405, 1686, 2810, 3372, 4215, 5620, 7025, 8430, 14050, 16860, 21075, 28100, 42150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84285 and 84300. The biggest common factor number is the GCF number.
So the greatest common factor 84285 and 84300 is 15.

Also check out the Least Common Multiple of 84285 and 84300