What is the Greatest Common Factor of 80189 and 80208?

Greatest common factor (GCF) of 80189 and 80208 is 1.

GCF(80189,80208) = 1

We will now calculate the prime factors of 80189 and 80208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80189 and 80208.

How to find the GCF of 80189 and 80208?

We will first find the prime factorization of 80189 and 80208. After we will calculate the factors of 80189 and 80208 and find the biggest common factor number .

Step-1: Prime Factorization of 80189

Prime factors of 80189 are 17, 53, 89. Prime factorization of 80189 in exponential form is:

80189 = 17¹ × 53¹ × 89¹

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 80189

List of positive integer factors of 80189 that divides 80189 without a remainder.

1, 17, 53, 89, 901, 1513, 4717

Step-4: Factors of 80208

List of positive integer factors of 80208 that divides 80189 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 80189 and 80208. The biggest common factor number is the GCF number.
So the greatest common factor 80189 and 80208 is 1.

Also check out the Least Common Multiple of 80189 and 80208