What is the Greatest Common Factor of 24816 and 24825?

Greatest common factor (GCF) of 24816 and 24825 is 3.

GCF(24816,24825) = 3

We will now calculate the prime factors of 24816 and 24825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24816 and 24825.

How to find the GCF of 24816 and 24825?

We will first find the prime factorization of 24816 and 24825. After we will calculate the factors of 24816 and 24825 and find the biggest common factor number .

Step-1: Prime Factorization of 24816

Prime factors of 24816 are 2, 3, 11, 47. Prime factorization of 24816 in exponential form is:

24816 = 2⁴ × 3¹ × 11¹ × 47¹

Step-2: Prime Factorization of 24825

Prime factors of 24825 are 3, 5, 331. Prime factorization of 24825 in exponential form is:

24825 = 3¹ × 5² × 331¹

Step-3: Factors of 24816

List of positive integer factors of 24816 that divides 24816 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 47, 48, 66, 88, 94, 132, 141, 176, 188, 264, 282, 376, 517, 528, 564, 752, 1034, 1128, 1551, 2068, 2256, 3102, 4136, 6204, 8272, 12408

Step-4: Factors of 24825

List of positive integer factors of 24825 that divides 24816 without a remainder.

1, 3, 5, 15, 25, 75, 331, 993, 1655, 4965, 8275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24816 and 24825. The biggest common factor number is the GCF number.
So the greatest common factor 24816 and 24825 is 3.

Also check out the Least Common Multiple of 24816 and 24825