What is the Greatest Common Factor of 84246 and 84255?

Greatest common factor (GCF) of 84246 and 84255 is 3.

GCF(84246,84255) = 3

We will now calculate the prime factors of 84246 and 84255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84246 and 84255.

How to find the GCF of 84246 and 84255?

We will first find the prime factorization of 84246 and 84255. After we will calculate the factors of 84246 and 84255 and find the biggest common factor number .

Step-1: Prime Factorization of 84246

Prime factors of 84246 are 2, 3, 19, 739. Prime factorization of 84246 in exponential form is:

84246 = 2¹ × 3¹ × 19¹ × 739¹

Step-2: Prime Factorization of 84255

Prime factors of 84255 are 3, 5, 41, 137. Prime factorization of 84255 in exponential form is:

84255 = 3¹ × 5¹ × 41¹ × 137¹

Step-3: Factors of 84246

List of positive integer factors of 84246 that divides 84246 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 739, 1478, 2217, 4434, 14041, 28082, 42123

Step-4: Factors of 84255

List of positive integer factors of 84255 that divides 84246 without a remainder.

1, 3, 5, 15, 41, 123, 137, 205, 411, 615, 685, 2055, 5617, 16851, 28085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84246 and 84255. The biggest common factor number is the GCF number.
So the greatest common factor 84246 and 84255 is 3.

Also check out the Least Common Multiple of 84246 and 84255