What is the Greatest Common Factor of 24800 and 24816?

Greatest common factor (GCF) of 24800 and 24816 is 16.

GCF(24800,24816) = 16

We will now calculate the prime factors of 24800 and 24816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24800 and 24816.

How to find the GCF of 24800 and 24816?

We will first find the prime factorization of 24800 and 24816. After we will calculate the factors of 24800 and 24816 and find the biggest common factor number .

Step-1: Prime Factorization of 24800

Prime factors of 24800 are 2, 5, 31. Prime factorization of 24800 in exponential form is:

24800 = 2⁵ × 5² × 31¹

Step-2: 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-3: Factors of 24800

List of positive integer factors of 24800 that divides 24800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 31, 32, 40, 50, 62, 80, 100, 124, 155, 160, 200, 248, 310, 400, 496, 620, 775, 800, 992, 1240, 1550, 2480, 3100, 4960, 6200, 12400

Step-4: Factors of 24816

List of positive integer factors of 24816 that divides 24800 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24800 and 24816. The biggest common factor number is the GCF number.
So the greatest common factor 24800 and 24816 is 16.

Also check out the Least Common Multiple of 24800 and 24816