What is the Greatest Common Factor of 15201 and 15205?

Greatest common factor (GCF) of 15201 and 15205 is 1.

GCF(15201,15205) = 1

We will now calculate the prime factors of 15201 and 15205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15201 and 15205.

How to find the GCF of 15201 and 15205?

We will first find the prime factorization of 15201 and 15205. After we will calculate the factors of 15201 and 15205 and find the biggest common factor number .

Step-1: Prime Factorization of 15201

Prime factors of 15201 are 3, 563. Prime factorization of 15201 in exponential form is:

15201 = 3³ × 563¹

Step-2: Prime Factorization of 15205

Prime factors of 15205 are 5, 3041. Prime factorization of 15205 in exponential form is:

15205 = 5¹ × 3041¹

Step-3: Factors of 15201

List of positive integer factors of 15201 that divides 15201 without a remainder.

1, 3, 9, 27, 563, 1689, 5067

Step-4: Factors of 15205

List of positive integer factors of 15205 that divides 15201 without a remainder.

1, 5, 3041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15201 and 15205. The biggest common factor number is the GCF number.
So the greatest common factor 15201 and 15205 is 1.

Also check out the Least Common Multiple of 15201 and 15205