What is the Greatest Common Factor of 84297 and 84312?

Greatest common factor (GCF) of 84297 and 84312 is 3.

GCF(84297,84312) = 3

We will now calculate the prime factors of 84297 and 84312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84297 and 84312.

How to find the GCF of 84297 and 84312?

We will first find the prime factorization of 84297 and 84312. After we will calculate the factors of 84297 and 84312 and find the biggest common factor number .

Step-1: Prime Factorization of 84297

Prime factors of 84297 are 3, 28099. Prime factorization of 84297 in exponential form is:

84297 = 3¹ × 28099¹

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 84297

List of positive integer factors of 84297 that divides 84297 without a remainder.

1, 3, 28099

Step-4: Factors of 84312

List of positive integer factors of 84312 that divides 84297 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 84297 and 84312. The biggest common factor number is the GCF number.
So the greatest common factor 84297 and 84312 is 3.

Also check out the Least Common Multiple of 84297 and 84312