What is the Greatest Common Factor of 24816 and 24824?

Greatest common factor (GCF) of 24816 and 24824 is 8.

GCF(24816,24824) = 8

We will now calculate the prime factors of 24816 and 24824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24816 and 24824.

How to find the GCF of 24816 and 24824?

We will first find the prime factorization of 24816 and 24824. After we will calculate the factors of 24816 and 24824 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 24824

Prime factors of 24824 are 2, 29, 107. Prime factorization of 24824 in exponential form is:

24824 = 2³ × 29¹ × 107¹

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 24824

List of positive integer factors of 24824 that divides 24816 without a remainder.

1, 2, 4, 8, 29, 58, 107, 116, 214, 232, 428, 856, 3103, 6206, 12412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24816 and 24824. The biggest common factor number is the GCF number.
So the greatest common factor 24816 and 24824 is 8.

Also check out the Least Common Multiple of 24816 and 24824