What is the Greatest Common Factor of 23274 and 23292?

Greatest common factor (GCF) of 23274 and 23292 is 18.

GCF(23274,23292) = 18

We will now calculate the prime factors of 23274 and 23292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23274 and 23292.

How to find the GCF of 23274 and 23292?

We will first find the prime factorization of 23274 and 23292. After we will calculate the factors of 23274 and 23292 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 23292

Prime factors of 23292 are 2, 3, 647. Prime factorization of 23292 in exponential form is:

23292 = 2² × 3² × 647¹

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 23292

List of positive integer factors of 23292 that divides 23274 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 647, 1294, 1941, 2588, 3882, 5823, 7764, 11646

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23274 and 23292. The biggest common factor number is the GCF number.
So the greatest common factor 23274 and 23292 is 18.

Also check out the Least Common Multiple of 23274 and 23292