What is the Greatest Common Factor of 24816 and 24821?

Greatest common factor (GCF) of 24816 and 24821 is 1.

GCF(24816,24821) = 1

We will now calculate the prime factors of 24816 and 24821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24816 and 24821.

How to find the GCF of 24816 and 24821?

We will first find the prime factorization of 24816 and 24821. After we will calculate the factors of 24816 and 24821 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 24821

Prime factors of 24821 are 24821. Prime factorization of 24821 in exponential form is:

24821 = 24821¹

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 24821

List of positive integer factors of 24821 that divides 24816 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24816 and 24821. The biggest common factor number is the GCF number.
So the greatest common factor 24816 and 24821 is 1.

Also check out the Least Common Multiple of 24816 and 24821