What is the Greatest Common Factor of 84312 and 84322?

Greatest common factor (GCF) of 84312 and 84322 is 2.

GCF(84312,84322) = 2

We will now calculate the prime factors of 84312 and 84322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84312 and 84322.

How to find the GCF of 84312 and 84322?

We will first find the prime factorization of 84312 and 84322. After we will calculate the factors of 84312 and 84322 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84322

Prime factors of 84322 are 2, 7, 19, 317. Prime factorization of 84322 in exponential form is:

84322 = 2¹ × 7¹ × 19¹ × 317¹

Step-3: Factors of 84312

List of positive integer factors of 84312 that divides 84312 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

Step-4: Factors of 84322

List of positive integer factors of 84322 that divides 84312 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 317, 634, 2219, 4438, 6023, 12046, 42161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84312 and 84322. The biggest common factor number is the GCF number.
So the greatest common factor 84312 and 84322 is 2.

Also check out the Least Common Multiple of 84312 and 84322