What is the Greatest Common Factor of 84309 and 84314?

Greatest common factor (GCF) of 84309 and 84314 is 1.

GCF(84309,84314) = 1

We will now calculate the prime factors of 84309 and 84314, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84309 and 84314.

How to find the GCF of 84309 and 84314?

We will first find the prime factorization of 84309 and 84314. After we will calculate the factors of 84309 and 84314 and find the biggest common factor number .

Step-1: Prime Factorization of 84309

Prime factors of 84309 are 3, 157, 179. Prime factorization of 84309 in exponential form is:

84309 = 3¹ × 157¹ × 179¹

Step-2: Prime Factorization of 84314

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

84314 = 2¹ × 42157¹

Step-3: Factors of 84309

List of positive integer factors of 84309 that divides 84309 without a remainder.

1, 3, 157, 179, 471, 537, 28103

Step-4: Factors of 84314

List of positive integer factors of 84314 that divides 84309 without a remainder.

1, 2, 42157

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84309 and 84314. The biggest common factor number is the GCF number.
So the greatest common factor 84309 and 84314 is 1.

Also check out the Least Common Multiple of 84309 and 84314