What is the Greatest Common Factor of 24297 and 24315?

Greatest common factor (GCF) of 24297 and 24315 is 3.

GCF(24297,24315) = 3

We will now calculate the prime factors of 24297 and 24315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24297 and 24315.

How to find the GCF of 24297 and 24315?

We will first find the prime factorization of 24297 and 24315. After we will calculate the factors of 24297 and 24315 and find the biggest common factor number .

Step-1: Prime Factorization of 24297

Prime factors of 24297 are 3, 7, 13, 89. Prime factorization of 24297 in exponential form is:

24297 = 3¹ × 7¹ × 13¹ × 89¹

Step-2: Prime Factorization of 24315

Prime factors of 24315 are 3, 5, 1621. Prime factorization of 24315 in exponential form is:

24315 = 3¹ × 5¹ × 1621¹

Step-3: Factors of 24297

List of positive integer factors of 24297 that divides 24297 without a remainder.

1, 3, 7, 13, 21, 39, 89, 91, 267, 273, 623, 1157, 1869, 3471, 8099

Step-4: Factors of 24315

List of positive integer factors of 24315 that divides 24297 without a remainder.

1, 3, 5, 15, 1621, 4863, 8105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24297 and 24315. The biggest common factor number is the GCF number.
So the greatest common factor 24297 and 24315 is 3.

Also check out the Least Common Multiple of 24297 and 24315