What is the Greatest Common Factor of 84314 and 84332?

Greatest common factor (GCF) of 84314 and 84332 is 2.

GCF(84314,84332) = 2

We will now calculate the prime factors of 84314 and 84332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84314 and 84332.

How to find the GCF of 84314 and 84332?

We will first find the prime factorization of 84314 and 84332. After we will calculate the factors of 84314 and 84332 and find the biggest common factor number .

Step-1: Prime Factorization of 84314

Prime factors of 84314 are 2, 42157. Prime factorization of 84314 in exponential form is:

84314 = 2¹ × 42157¹

Step-2: Prime Factorization of 84332

Prime factors of 84332 are 2, 29, 727. Prime factorization of 84332 in exponential form is:

84332 = 2² × 29¹ × 727¹

Step-3: Factors of 84314

List of positive integer factors of 84314 that divides 84314 without a remainder.

1, 2, 42157

Step-4: Factors of 84332

List of positive integer factors of 84332 that divides 84314 without a remainder.

1, 2, 4, 29, 58, 116, 727, 1454, 2908, 21083, 42166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84314 and 84332. The biggest common factor number is the GCF number.
So the greatest common factor 84314 and 84332 is 2.

Also check out the Least Common Multiple of 84314 and 84332