What is the Greatest Common Factor of 84235 and 84255?

Greatest common factor (GCF) of 84235 and 84255 is 5.

GCF(84235,84255) = 5

We will now calculate the prime factors of 84235 and 84255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84235 and 84255.

How to find the GCF of 84235 and 84255?

We will first find the prime factorization of 84235 and 84255. After we will calculate the factors of 84235 and 84255 and find the biggest common factor number .

Step-1: Prime Factorization of 84235

Prime factors of 84235 are 5, 17, 991. Prime factorization of 84235 in exponential form is:

84235 = 5¹ × 17¹ × 991¹

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 84235

List of positive integer factors of 84235 that divides 84235 without a remainder.

1, 5, 17, 85, 991, 4955, 16847

Step-4: Factors of 84255

List of positive integer factors of 84255 that divides 84235 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 84235 and 84255. The biggest common factor number is the GCF number.
So the greatest common factor 84235 and 84255 is 5.

Also check out the Least Common Multiple of 84235 and 84255