What is the Greatest Common Factor of 24894 and 24900?

Greatest common factor (GCF) of 24894 and 24900 is 6.

GCF(24894,24900) = 6

We will now calculate the prime factors of 24894 and 24900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24894 and 24900.

How to find the GCF of 24894 and 24900?

We will first find the prime factorization of 24894 and 24900. After we will calculate the factors of 24894 and 24900 and find the biggest common factor number .

Step-1: Prime Factorization of 24894

Prime factors of 24894 are 2, 3, 461. Prime factorization of 24894 in exponential form is:

24894 = 2¹ × 3³ × 461¹

Step-2: 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-3: Factors of 24894

List of positive integer factors of 24894 that divides 24894 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 461, 922, 1383, 2766, 4149, 8298, 12447

Step-4: Factors of 24900

List of positive integer factors of 24900 that divides 24894 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24894 and 24900. The biggest common factor number is the GCF number.
So the greatest common factor 24894 and 24900 is 6.

Also check out the Least Common Multiple of 24894 and 24900