What is the Greatest Common Factor of 24282 and 24301?

Greatest common factor (GCF) of 24282 and 24301 is 19.

GCF(24282,24301) = 19

We will now calculate the prime factors of 24282 and 24301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24282 and 24301.

How to find the GCF of 24282 and 24301?

We will first find the prime factorization of 24282 and 24301. After we will calculate the factors of 24282 and 24301 and find the biggest common factor number .

Step-1: Prime Factorization of 24282

Prime factors of 24282 are 2, 3, 19, 71. Prime factorization of 24282 in exponential form is:

24282 = 2¹ × 3² × 19¹ × 71¹

Step-2: Prime Factorization of 24301

Prime factors of 24301 are 19, 1279. Prime factorization of 24301 in exponential form is:

24301 = 19¹ × 1279¹

Step-3: Factors of 24282

List of positive integer factors of 24282 that divides 24282 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 71, 114, 142, 171, 213, 342, 426, 639, 1278, 1349, 2698, 4047, 8094, 12141

Step-4: Factors of 24301

List of positive integer factors of 24301 that divides 24282 without a remainder.

1, 19, 1279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24282 and 24301. The biggest common factor number is the GCF number.
So the greatest common factor 24282 and 24301 is 19.

Also check out the Least Common Multiple of 24282 and 24301