What is the Greatest Common Factor of 80175 and 80189?

Greatest common factor (GCF) of 80175 and 80189 is 1.

GCF(80175,80189) = 1

We will now calculate the prime factors of 80175 and 80189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80175 and 80189.

How to find the GCF of 80175 and 80189?

We will first find the prime factorization of 80175 and 80189. After we will calculate the factors of 80175 and 80189 and find the biggest common factor number .

Step-1: Prime Factorization of 80175

Prime factors of 80175 are 3, 5, 1069. Prime factorization of 80175 in exponential form is:

80175 = 3¹ × 5² × 1069¹

Step-2: 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-3: Factors of 80175

List of positive integer factors of 80175 that divides 80175 without a remainder.

1, 3, 5, 15, 25, 75, 1069, 3207, 5345, 16035, 26725

Step-4: Factors of 80189

List of positive integer factors of 80189 that divides 80175 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80175 and 80189. The biggest common factor number is the GCF number.
So the greatest common factor 80175 and 80189 is 1.

Also check out the Least Common Multiple of 80175 and 80189