What is the Greatest Common Factor of 24276 and 24293?

Greatest common factor (GCF) of 24276 and 24293 is 17.

GCF(24276,24293) = 17

We will now calculate the prime factors of 24276 and 24293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24276 and 24293.

How to find the GCF of 24276 and 24293?

We will first find the prime factorization of 24276 and 24293. After we will calculate the factors of 24276 and 24293 and find the biggest common factor number .

Step-1: Prime Factorization of 24276

Prime factors of 24276 are 2, 3, 7, 17. Prime factorization of 24276 in exponential form is:

24276 = 2² × 3¹ × 7¹ × 17²

Step-2: Prime Factorization of 24293

Prime factors of 24293 are 17, 1429. Prime factorization of 24293 in exponential form is:

24293 = 17¹ × 1429¹

Step-3: Factors of 24276

List of positive integer factors of 24276 that divides 24276 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 289, 357, 476, 578, 714, 867, 1156, 1428, 1734, 2023, 3468, 4046, 6069, 8092, 12138

Step-4: Factors of 24293

List of positive integer factors of 24293 that divides 24276 without a remainder.

1, 17, 1429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24276 and 24293. The biggest common factor number is the GCF number.
So the greatest common factor 24276 and 24293 is 17.

Also check out the Least Common Multiple of 24276 and 24293