What is the Greatest Common Factor of 84208 and 84228?

Greatest common factor (GCF) of 84208 and 84228 is 4.

GCF(84208,84228) = 4

We will now calculate the prime factors of 84208 and 84228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84208 and 84228.

How to find the GCF of 84208 and 84228?

We will first find the prime factorization of 84208 and 84228. After we will calculate the factors of 84208 and 84228 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 84228

Prime factors of 84228 are 2, 3, 7019. Prime factorization of 84228 in exponential form is:

84228 = 2² × 3¹ × 7019¹

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 84228

List of positive integer factors of 84228 that divides 84208 without a remainder.

1, 2, 3, 4, 6, 12, 7019, 14038, 21057, 28076, 42114

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84208 and 84228. The biggest common factor number is the GCF number.
So the greatest common factor 84208 and 84228 is 4.

Also check out the Least Common Multiple of 84208 and 84228