What is the Greatest Common Factor of 84300 and 84312?

Greatest common factor (GCF) of 84300 and 84312 is 12.

GCF(84300,84312) = 12

We will now calculate the prime factors of 84300 and 84312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84300 and 84312.

How to find the GCF of 84300 and 84312?

We will first find the prime factorization of 84300 and 84312. After we will calculate the factors of 84300 and 84312 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84312

Prime factors of 84312 are 2, 3, 1171. Prime factorization of 84312 in exponential form is:

84312 = 2³ × 3² × 1171¹

Step-3: Factors of 84300

List of positive integer factors of 84300 that divides 84300 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

Step-4: Factors of 84312

List of positive integer factors of 84312 that divides 84300 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1171, 2342, 3513, 4684, 7026, 9368, 10539, 14052, 21078, 28104, 42156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84300 and 84312. The biggest common factor number is the GCF number.
So the greatest common factor 84300 and 84312 is 12.

Also check out the Least Common Multiple of 84300 and 84312