What is the Greatest Common Factor of 24234 and 24248?

Greatest common factor (GCF) of 24234 and 24248 is 14.

GCF(24234,24248) = 14

We will now calculate the prime factors of 24234 and 24248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24234 and 24248.

How to find the GCF of 24234 and 24248?

We will first find the prime factorization of 24234 and 24248. After we will calculate the factors of 24234 and 24248 and find the biggest common factor number .

Step-1: Prime Factorization of 24234

Prime factors of 24234 are 2, 3, 7, 577. Prime factorization of 24234 in exponential form is:

24234 = 2¹ × 3¹ × 7¹ × 577¹

Step-2: Prime Factorization of 24248

Prime factors of 24248 are 2, 7, 433. Prime factorization of 24248 in exponential form is:

24248 = 2³ × 7¹ × 433¹

Step-3: Factors of 24234

List of positive integer factors of 24234 that divides 24234 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 577, 1154, 1731, 3462, 4039, 8078, 12117

Step-4: Factors of 24248

List of positive integer factors of 24248 that divides 24234 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 433, 866, 1732, 3031, 3464, 6062, 12124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24234 and 24248. The biggest common factor number is the GCF number.
So the greatest common factor 24234 and 24248 is 14.

Also check out the Least Common Multiple of 24234 and 24248