What is the Greatest Common Factor of 80209 and 80214?

Greatest common factor (GCF) of 80209 and 80214 is 1.

GCF(80209,80214) = 1

We will now calculate the prime factors of 80209 and 80214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80209 and 80214.

How to find the GCF of 80209 and 80214?

We will first find the prime factorization of 80209 and 80214. After we will calculate the factors of 80209 and 80214 and find the biggest common factor number .

Step-1: Prime Factorization of 80209

Prime factors of 80209 are 80209. Prime factorization of 80209 in exponential form is:

80209 = 80209¹

Step-2: Prime Factorization of 80214

Prime factors of 80214 are 2, 3, 29, 461. Prime factorization of 80214 in exponential form is:

80214 = 2¹ × 3¹ × 29¹ × 461¹

Step-3: Factors of 80209

List of positive integer factors of 80209 that divides 80209 without a remainder.

Step-4: Factors of 80214

List of positive integer factors of 80214 that divides 80209 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 461, 922, 1383, 2766, 13369, 26738, 40107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80209 and 80214. The biggest common factor number is the GCF number.
So the greatest common factor 80209 and 80214 is 1.

Also check out the Least Common Multiple of 80209 and 80214