What is the Greatest Common Factor of 73189 and 73205?

Greatest common factor (GCF) of 73189 and 73205 is 1.

GCF(73189,73205) = 1

We will now calculate the prime factors of 73189 and 73205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73189 and 73205.

How to find the GCF of 73189 and 73205?

We will first find the prime factorization of 73189 and 73205. After we will calculate the factors of 73189 and 73205 and find the biggest common factor number .

Step-1: Prime Factorization of 73189

Prime factors of 73189 are 73189. Prime factorization of 73189 in exponential form is:

73189 = 73189¹

Step-2: Prime Factorization of 73205

Prime factors of 73205 are 5, 11. Prime factorization of 73205 in exponential form is:

73205 = 5¹ × 11⁴

Step-3: Factors of 73189

List of positive integer factors of 73189 that divides 73189 without a remainder.

Step-4: Factors of 73205

List of positive integer factors of 73205 that divides 73189 without a remainder.

1, 5, 11, 55, 121, 605, 1331, 6655, 14641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73189 and 73205. The biggest common factor number is the GCF number.
So the greatest common factor 73189 and 73205 is 1.

Also check out the Least Common Multiple of 73189 and 73205