What is the Greatest Common Factor of 24912 and 24918?

Greatest common factor (GCF) of 24912 and 24918 is 6.

GCF(24912,24918) = 6

We will now calculate the prime factors of 24912 and 24918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24912 and 24918.

How to find the GCF of 24912 and 24918?

We will first find the prime factorization of 24912 and 24918. After we will calculate the factors of 24912 and 24918 and find the biggest common factor number .

Step-1: Prime Factorization of 24912

Prime factors of 24912 are 2, 3, 173. Prime factorization of 24912 in exponential form is:

24912 = 2⁴ × 3² × 173¹

Step-2: Prime Factorization of 24918

Prime factors of 24918 are 2, 3, 4153. Prime factorization of 24918 in exponential form is:

24918 = 2¹ × 3¹ × 4153¹

Step-3: Factors of 24912

List of positive integer factors of 24912 that divides 24912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 173, 346, 519, 692, 1038, 1384, 1557, 2076, 2768, 3114, 4152, 6228, 8304, 12456

Step-4: Factors of 24918

List of positive integer factors of 24918 that divides 24912 without a remainder.

1, 2, 3, 6, 4153, 8306, 12459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24912 and 24918. The biggest common factor number is the GCF number.
So the greatest common factor 24912 and 24918 is 6.

Also check out the Least Common Multiple of 24912 and 24918