What is the Greatest Common Factor of 24297 and 24303?

Greatest common factor (GCF) of 24297 and 24303 is 3.

GCF(24297,24303) = 3

We will now calculate the prime factors of 24297 and 24303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24297 and 24303.

How to find the GCF of 24297 and 24303?

We will first find the prime factorization of 24297 and 24303. After we will calculate the factors of 24297 and 24303 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 24303

Prime factors of 24303 are 3, 8101. Prime factorization of 24303 in exponential form is:

24303 = 3¹ × 8101¹

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 24303

List of positive integer factors of 24303 that divides 24297 without a remainder.

1, 3, 8101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24297 and 24303. The biggest common factor number is the GCF number.
So the greatest common factor 24297 and 24303 is 3.

Also check out the Least Common Multiple of 24297 and 24303