What is the Greatest Common Factor of 84267 and 84282?

Greatest common factor (GCF) of 84267 and 84282 is 3.

GCF(84267,84282) = 3

We will now calculate the prime factors of 84267 and 84282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84267 and 84282.

How to find the GCF of 84267 and 84282?

We will first find the prime factorization of 84267 and 84282. After we will calculate the factors of 84267 and 84282 and find the biggest common factor number .

Step-1: Prime Factorization of 84267

Prime factors of 84267 are 3, 3121. Prime factorization of 84267 in exponential form is:

84267 = 3³ × 3121¹

Step-2: Prime Factorization of 84282

Prime factors of 84282 are 2, 3, 11, 1277. Prime factorization of 84282 in exponential form is:

84282 = 2¹ × 3¹ × 11¹ × 1277¹

Step-3: Factors of 84267

List of positive integer factors of 84267 that divides 84267 without a remainder.

1, 3, 9, 27, 3121, 9363, 28089

Step-4: Factors of 84282

List of positive integer factors of 84282 that divides 84267 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1277, 2554, 3831, 7662, 14047, 28094, 42141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84267 and 84282. The biggest common factor number is the GCF number.
So the greatest common factor 84267 and 84282 is 3.

Also check out the Least Common Multiple of 84267 and 84282