What is the Greatest Common Factor of 23270 and 23289?

Greatest common factor (GCF) of 23270 and 23289 is 1.

GCF(23270,23289) = 1

We will now calculate the prime factors of 23270 and 23289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23270 and 23289.

How to find the GCF of 23270 and 23289?

We will first find the prime factorization of 23270 and 23289. After we will calculate the factors of 23270 and 23289 and find the biggest common factor number .

Step-1: Prime Factorization of 23270

Prime factors of 23270 are 2, 5, 13, 179. Prime factorization of 23270 in exponential form is:

23270 = 2¹ × 5¹ × 13¹ × 179¹

Step-2: Prime Factorization of 23289

Prime factors of 23289 are 3, 7, 1109. Prime factorization of 23289 in exponential form is:

23289 = 3¹ × 7¹ × 1109¹

Step-3: Factors of 23270

List of positive integer factors of 23270 that divides 23270 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 179, 358, 895, 1790, 2327, 4654, 11635

Step-4: Factors of 23289

List of positive integer factors of 23289 that divides 23270 without a remainder.

1, 3, 7, 21, 1109, 3327, 7763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23270 and 23289. The biggest common factor number is the GCF number.
So the greatest common factor 23270 and 23289 is 1.

Also check out the Least Common Multiple of 23270 and 23289