What is the Greatest Common Factor of 80189 and 80201?

Greatest common factor (GCF) of 80189 and 80201 is 1.

GCF(80189,80201) = 1

We will now calculate the prime factors of 80189 and 80201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80189 and 80201.

How to find the GCF of 80189 and 80201?

We will first find the prime factorization of 80189 and 80201. After we will calculate the factors of 80189 and 80201 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 80201

Prime factors of 80201 are 11, 23, 317. Prime factorization of 80201 in exponential form is:

80201 = 11¹ × 23¹ × 317¹

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 80201

List of positive integer factors of 80201 that divides 80189 without a remainder.

1, 11, 23, 253, 317, 3487, 7291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80189 and 80201. The biggest common factor number is the GCF number.
So the greatest common factor 80189 and 80201 is 1.

Also check out the Least Common Multiple of 80189 and 80201