What is the Greatest Common Factor of 80208 and 80217?

Greatest common factor (GCF) of 80208 and 80217 is 9.

GCF(80208,80217) = 9

We will now calculate the prime factors of 80208 and 80217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80208 and 80217.

How to find the GCF of 80208 and 80217?

We will first find the prime factorization of 80208 and 80217. After we will calculate the factors of 80208 and 80217 and find the biggest common factor number .

Step-1: Prime Factorization of 80208

Prime factors of 80208 are 2, 3, 557. Prime factorization of 80208 in exponential form is:

80208 = 2⁴ × 3² × 557¹

Step-2: Prime Factorization of 80217

Prime factors of 80217 are 3, 2971. Prime factorization of 80217 in exponential form is:

80217 = 3³ × 2971¹

Step-3: Factors of 80208

List of positive integer factors of 80208 that divides 80208 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 557, 1114, 1671, 2228, 3342, 4456, 5013, 6684, 8912, 10026, 13368, 20052, 26736, 40104

Step-4: Factors of 80217

List of positive integer factors of 80217 that divides 80208 without a remainder.

1, 3, 9, 27, 2971, 8913, 26739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80208 and 80217. The biggest common factor number is the GCF number.
So the greatest common factor 80208 and 80217 is 9.

Also check out the Least Common Multiple of 80208 and 80217