What is the Greatest Common Factor of 17247 and 17260?

Greatest common factor (GCF) of 17247 and 17260 is 1.

GCF(17247,17260) = 1

We will now calculate the prime factors of 17247 and 17260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17247 and 17260.

How to find the GCF of 17247 and 17260?

We will first find the prime factorization of 17247 and 17260. After we will calculate the factors of 17247 and 17260 and find the biggest common factor number .

Step-1: Prime Factorization of 17247

Prime factors of 17247 are 3, 5749. Prime factorization of 17247 in exponential form is:

17247 = 3¹ × 5749¹

Step-2: Prime Factorization of 17260

Prime factors of 17260 are 2, 5, 863. Prime factorization of 17260 in exponential form is:

17260 = 2² × 5¹ × 863¹

Step-3: Factors of 17247

List of positive integer factors of 17247 that divides 17247 without a remainder.

1, 3, 5749

Step-4: Factors of 17260

List of positive integer factors of 17260 that divides 17247 without a remainder.

1, 2, 4, 5, 10, 20, 863, 1726, 3452, 4315, 8630

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17247 and 17260. The biggest common factor number is the GCF number.
So the greatest common factor 17247 and 17260 is 1.

Also check out the Least Common Multiple of 17247 and 17260