What is the Greatest Common Factor of 84200 and 84219?

Greatest common factor (GCF) of 84200 and 84219 is 1.

GCF(84200,84219) = 1

We will now calculate the prime factors of 84200 and 84219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84200 and 84219.

How to find the GCF of 84200 and 84219?

We will first find the prime factorization of 84200 and 84219. After we will calculate the factors of 84200 and 84219 and find the biggest common factor number .

Step-1: Prime Factorization of 84200

Prime factors of 84200 are 2, 5, 421. Prime factorization of 84200 in exponential form is:

84200 = 2³ × 5² × 421¹

Step-2: Prime Factorization of 84219

Prime factors of 84219 are 3, 67, 419. Prime factorization of 84219 in exponential form is:

84219 = 3¹ × 67¹ × 419¹

Step-3: Factors of 84200

List of positive integer factors of 84200 that divides 84200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 421, 842, 1684, 2105, 3368, 4210, 8420, 10525, 16840, 21050, 42100

Step-4: Factors of 84219

List of positive integer factors of 84219 that divides 84200 without a remainder.

1, 3, 67, 201, 419, 1257, 28073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84200 and 84219. The biggest common factor number is the GCF number.
So the greatest common factor 84200 and 84219 is 1.

Also check out the Least Common Multiple of 84200 and 84219