What is the Greatest Common Factor of 80206 and 80214?

Greatest common factor (GCF) of 80206 and 80214 is 2.

GCF(80206,80214) = 2

We will now calculate the prime factors of 80206 and 80214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80206 and 80214.

How to find the GCF of 80206 and 80214?

We will first find the prime factorization of 80206 and 80214. After we will calculate the factors of 80206 and 80214 and find the biggest common factor number .

Step-1: Prime Factorization of 80206

Prime factors of 80206 are 2, 7, 17, 337. Prime factorization of 80206 in exponential form is:

80206 = 2¹ × 7¹ × 17¹ × 337¹

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 80206

List of positive integer factors of 80206 that divides 80206 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238, 337, 674, 2359, 4718, 5729, 11458, 40103

Step-4: Factors of 80214

List of positive integer factors of 80214 that divides 80206 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 80206 and 80214. The biggest common factor number is the GCF number.
So the greatest common factor 80206 and 80214 is 2.

Also check out the Least Common Multiple of 80206 and 80214