What is the Greatest Common Factor of 24816 and 24831?

Greatest common factor (GCF) of 24816 and 24831 is 3.

GCF(24816,24831) = 3

We will now calculate the prime factors of 24816 and 24831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24816 and 24831.

How to find the GCF of 24816 and 24831?

We will first find the prime factorization of 24816 and 24831. After we will calculate the factors of 24816 and 24831 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 24831

Prime factors of 24831 are 3, 31, 89. Prime factorization of 24831 in exponential form is:

24831 = 3² × 31¹ × 89¹

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 24831

List of positive integer factors of 24831 that divides 24816 without a remainder.

1, 3, 9, 31, 89, 93, 267, 279, 801, 2759, 8277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24816 and 24831. The biggest common factor number is the GCF number.
So the greatest common factor 24816 and 24831 is 3.

Also check out the Least Common Multiple of 24816 and 24831