What is the Greatest Common Factor of 84208 and 84227?

Greatest common factor (GCF) of 84208 and 84227 is 19.

GCF(84208,84227) = 19

We will now calculate the prime factors of 84208 and 84227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84208 and 84227.

How to find the GCF of 84208 and 84227?

We will first find the prime factorization of 84208 and 84227. After we will calculate the factors of 84208 and 84227 and find the biggest common factor number .

Step-1: Prime Factorization of 84208

Prime factors of 84208 are 2, 19, 277. Prime factorization of 84208 in exponential form is:

84208 = 2⁴ × 19¹ × 277¹

Step-2: Prime Factorization of 84227

Prime factors of 84227 are 11, 13, 19, 31. Prime factorization of 84227 in exponential form is:

84227 = 11¹ × 13¹ × 19¹ × 31¹

Step-3: Factors of 84208

List of positive integer factors of 84208 that divides 84208 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 277, 304, 554, 1108, 2216, 4432, 5263, 10526, 21052, 42104

Step-4: Factors of 84227

List of positive integer factors of 84227 that divides 84208 without a remainder.

1, 11, 13, 19, 31, 143, 209, 247, 341, 403, 589, 2717, 4433, 6479, 7657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84208 and 84227. The biggest common factor number is the GCF number.
So the greatest common factor 84208 and 84227 is 19.

Also check out the Least Common Multiple of 84208 and 84227