What is the Greatest Common Factor of 84265 and 84284?

Greatest common factor (GCF) of 84265 and 84284 is 19.

GCF(84265,84284) = 19

We will now calculate the prime factors of 84265 and 84284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84265 and 84284.

How to find the GCF of 84265 and 84284?

We will first find the prime factorization of 84265 and 84284. After we will calculate the factors of 84265 and 84284 and find the biggest common factor number .

Step-1: Prime Factorization of 84265

Prime factors of 84265 are 5, 19, 887. Prime factorization of 84265 in exponential form is:

84265 = 5¹ × 19¹ × 887¹

Step-2: Prime Factorization of 84284

Prime factors of 84284 are 2, 19, 1109. Prime factorization of 84284 in exponential form is:

84284 = 2² × 19¹ × 1109¹

Step-3: Factors of 84265

List of positive integer factors of 84265 that divides 84265 without a remainder.

1, 5, 19, 95, 887, 4435, 16853

Step-4: Factors of 84284

List of positive integer factors of 84284 that divides 84265 without a remainder.

1, 2, 4, 19, 38, 76, 1109, 2218, 4436, 21071, 42142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84265 and 84284. The biggest common factor number is the GCF number.
So the greatest common factor 84265 and 84284 is 19.

Also check out the Least Common Multiple of 84265 and 84284