What is the Greatest Common Factor of 24900 and 24912?

Greatest common factor (GCF) of 24900 and 24912 is 12.

GCF(24900,24912) = 12

We will now calculate the prime factors of 24900 and 24912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24900 and 24912.

How to find the GCF of 24900 and 24912?

We will first find the prime factorization of 24900 and 24912. After we will calculate the factors of 24900 and 24912 and find the biggest common factor number .

Step-1: Prime Factorization of 24900

Prime factors of 24900 are 2, 3, 5, 83. Prime factorization of 24900 in exponential form is:

24900 = 2² × 3¹ × 5² × 83¹

Step-2: 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-3: Factors of 24900

List of positive integer factors of 24900 that divides 24900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 83, 100, 150, 166, 249, 300, 332, 415, 498, 830, 996, 1245, 1660, 2075, 2490, 4150, 4980, 6225, 8300, 12450

Step-4: Factors of 24912

List of positive integer factors of 24912 that divides 24900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24900 and 24912. The biggest common factor number is the GCF number.
So the greatest common factor 24900 and 24912 is 12.

Also check out the Least Common Multiple of 24900 and 24912