What is the Greatest Common Factor of 23310 and 23324?

Greatest common factor (GCF) of 23310 and 23324 is 14.

GCF(23310,23324) = 14

We will now calculate the prime factors of 23310 and 23324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23310 and 23324.

How to find the GCF of 23310 and 23324?

We will first find the prime factorization of 23310 and 23324. After we will calculate the factors of 23310 and 23324 and find the biggest common factor number .

Step-1: Prime Factorization of 23310

Prime factors of 23310 are 2, 3, 5, 7, 37. Prime factorization of 23310 in exponential form is:

23310 = 2¹ × 3² × 5¹ × 7¹ × 37¹

Step-2: Prime Factorization of 23324

Prime factors of 23324 are 2, 7, 17. Prime factorization of 23324 in exponential form is:

23324 = 2² × 7³ × 17¹

Step-3: Factors of 23310

List of positive integer factors of 23310 that divides 23310 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 37, 42, 45, 63, 70, 74, 90, 105, 111, 126, 185, 210, 222, 259, 315, 333, 370, 518, 555, 630, 666, 777, 1110, 1295, 1554, 1665, 2331, 2590, 3330, 3885, 4662, 7770, 11655

Step-4: Factors of 23324

List of positive integer factors of 23324 that divides 23310 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 343, 476, 686, 833, 1372, 1666, 3332, 5831, 11662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23310 and 23324. The biggest common factor number is the GCF number.
So the greatest common factor 23310 and 23324 is 14.

Also check out the Least Common Multiple of 23310 and 23324