What is the Greatest Common Factor of 24900 and 24916?

Greatest common factor (GCF) of 24900 and 24916 is 4.

GCF(24900,24916) = 4

We will now calculate the prime factors of 24900 and 24916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24900 and 24916.

How to find the GCF of 24900 and 24916?

We will first find the prime factorization of 24900 and 24916. After we will calculate the factors of 24900 and 24916 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 24916

Prime factors of 24916 are 2, 6229. Prime factorization of 24916 in exponential form is:

24916 = 2² × 6229¹

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 24916

List of positive integer factors of 24916 that divides 24900 without a remainder.

1, 2, 4, 6229, 12458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24900 and 24916. The biggest common factor number is the GCF number.
So the greatest common factor 24900 and 24916 is 4.

Also check out the Least Common Multiple of 24900 and 24916