What is the Greatest Common Factor of 80206 and 80220?

Greatest common factor (GCF) of 80206 and 80220 is 14.

GCF(80206,80220) = 14

We will now calculate the prime factors of 80206 and 80220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80206 and 80220.

How to find the GCF of 80206 and 80220?

We will first find the prime factorization of 80206 and 80220. After we will calculate the factors of 80206 and 80220 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 80220

Prime factors of 80220 are 2, 3, 5, 7, 191. Prime factorization of 80220 in exponential form is:

80220 = 2² × 3¹ × 5¹ × 7¹ × 191¹

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 80220

List of positive integer factors of 80220 that divides 80206 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 191, 210, 382, 420, 573, 764, 955, 1146, 1337, 1910, 2292, 2674, 2865, 3820, 4011, 5348, 5730, 6685, 8022, 11460, 13370, 16044, 20055, 26740, 40110

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80206 and 80220. The biggest common factor number is the GCF number.
So the greatest common factor 80206 and 80220 is 14.

Also check out the Least Common Multiple of 80206 and 80220