What is the Greatest Common Factor of 84219 and 84234?

Greatest common factor (GCF) of 84219 and 84234 is 3.

GCF(84219,84234) = 3

We will now calculate the prime factors of 84219 and 84234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84219 and 84234.

How to find the GCF of 84219 and 84234?

We will first find the prime factorization of 84219 and 84234. After we will calculate the factors of 84219 and 84234 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84234

Prime factors of 84234 are 2, 3, 101, 139. Prime factorization of 84234 in exponential form is:

84234 = 2¹ × 3¹ × 101¹ × 139¹

Step-3: Factors of 84219

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

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

Step-4: Factors of 84234

List of positive integer factors of 84234 that divides 84219 without a remainder.

1, 2, 3, 6, 101, 139, 202, 278, 303, 417, 606, 834, 14039, 28078, 42117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84219 and 84234. The biggest common factor number is the GCF number.
So the greatest common factor 84219 and 84234 is 3.

Also check out the Least Common Multiple of 84219 and 84234