What is the Greatest Common Factor of 24274 and 24282?

Greatest common factor (GCF) of 24274 and 24282 is 2.

GCF(24274,24282) = 2

We will now calculate the prime factors of 24274 and 24282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24274 and 24282.

How to find the GCF of 24274 and 24282?

We will first find the prime factorization of 24274 and 24282. After we will calculate the factors of 24274 and 24282 and find the biggest common factor number .

Step-1: Prime Factorization of 24274

Prime factors of 24274 are 2, 53, 229. Prime factorization of 24274 in exponential form is:

24274 = 2¹ × 53¹ × 229¹

Step-2: 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-3: Factors of 24274

List of positive integer factors of 24274 that divides 24274 without a remainder.

1, 2, 53, 106, 229, 458, 12137

Step-4: Factors of 24282

List of positive integer factors of 24282 that divides 24274 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24274 and 24282. The biggest common factor number is the GCF number.
So the greatest common factor 24274 and 24282 is 2.

Also check out the Least Common Multiple of 24274 and 24282