What is the Greatest Common Factor of 80194 and 80208?

Greatest common factor (GCF) of 80194 and 80208 is 2.

GCF(80194,80208) = 2

We will now calculate the prime factors of 80194 and 80208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80194 and 80208.

How to find the GCF of 80194 and 80208?

We will first find the prime factorization of 80194 and 80208. After we will calculate the factors of 80194 and 80208 and find the biggest common factor number .

Step-1: Prime Factorization of 80194

Prime factors of 80194 are 2, 101, 397. Prime factorization of 80194 in exponential form is:

80194 = 2¹ × 101¹ × 397¹

Step-2: 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-3: Factors of 80194

List of positive integer factors of 80194 that divides 80194 without a remainder.

1, 2, 101, 202, 397, 794, 40097

Step-4: Factors of 80208

List of positive integer factors of 80208 that divides 80194 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80194 and 80208. The biggest common factor number is the GCF number.
So the greatest common factor 80194 and 80208 is 2.

Also check out the Least Common Multiple of 80194 and 80208