What is the Greatest Common Factor of 23274 and 23289?

Greatest common factor (GCF) of 23274 and 23289 is 3.

GCF(23274,23289) = 3

We will now calculate the prime factors of 23274 and 23289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23274 and 23289.

How to find the GCF of 23274 and 23289?

We will first find the prime factorization of 23274 and 23289. After we will calculate the factors of 23274 and 23289 and find the biggest common factor number .

Step-1: Prime Factorization of 23274

Prime factors of 23274 are 2, 3, 431. Prime factorization of 23274 in exponential form is:

23274 = 2¹ × 3³ × 431¹

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 23274

List of positive integer factors of 23274 that divides 23274 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 431, 862, 1293, 2586, 3879, 7758, 11637

Step-4: Factors of 23289

List of positive integer factors of 23289 that divides 23274 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23274 and 23289. The biggest common factor number is the GCF number.
So the greatest common factor 23274 and 23289 is 3.

Also check out the Least Common Multiple of 23274 and 23289