What is the Greatest Common Factor of 24311 and 24318?

Greatest common factor (GCF) of 24311 and 24318 is 7.

GCF(24311,24318) = 7

We will now calculate the prime factors of 24311 and 24318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24311 and 24318.

How to find the GCF of 24311 and 24318?

We will first find the prime factorization of 24311 and 24318. After we will calculate the factors of 24311 and 24318 and find the biggest common factor number .

Step-1: Prime Factorization of 24311

Prime factors of 24311 are 7, 23, 151. Prime factorization of 24311 in exponential form is:

24311 = 7¹ × 23¹ × 151¹

Step-2: Prime Factorization of 24318

Prime factors of 24318 are 2, 3, 7, 193. Prime factorization of 24318 in exponential form is:

24318 = 2¹ × 3² × 7¹ × 193¹

Step-3: Factors of 24311

List of positive integer factors of 24311 that divides 24311 without a remainder.

1, 7, 23, 151, 161, 1057, 3473

Step-4: Factors of 24318

List of positive integer factors of 24318 that divides 24311 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 193, 386, 579, 1158, 1351, 1737, 2702, 3474, 4053, 8106, 12159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24311 and 24318. The biggest common factor number is the GCF number.
So the greatest common factor 24311 and 24318 is 7.

Also check out the Least Common Multiple of 24311 and 24318