What is the Greatest Common Factor of 24276 and 24283?

Greatest common factor (GCF) of 24276 and 24283 is 7.

GCF(24276,24283) = 7

We will now calculate the prime factors of 24276 and 24283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24276 and 24283.

How to find the GCF of 24276 and 24283?

We will first find the prime factorization of 24276 and 24283. After we will calculate the factors of 24276 and 24283 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 24283

Prime factors of 24283 are 7, 3469. Prime factorization of 24283 in exponential form is:

24283 = 7¹ × 3469¹

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 24283

List of positive integer factors of 24283 that divides 24276 without a remainder.

1, 7, 3469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24276 and 24283. The biggest common factor number is the GCF number.
So the greatest common factor 24276 and 24283 is 7.

Also check out the Least Common Multiple of 24276 and 24283