What is the Greatest Common Factor of 24786 and 24800?

Greatest common factor (GCF) of 24786 and 24800 is 2.

GCF(24786,24800) = 2

We will now calculate the prime factors of 24786 and 24800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24786 and 24800.

How to find the GCF of 24786 and 24800?

We will first find the prime factorization of 24786 and 24800. After we will calculate the factors of 24786 and 24800 and find the biggest common factor number .

Step-1: Prime Factorization of 24786

Prime factors of 24786 are 2, 3, 17. Prime factorization of 24786 in exponential form is:

24786 = 2¹ × 3⁶ × 17¹

Step-2: 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-3: Factors of 24786

List of positive integer factors of 24786 that divides 24786 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 729, 918, 1377, 1458, 2754, 4131, 8262, 12393

Step-4: Factors of 24800

List of positive integer factors of 24800 that divides 24786 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24786 and 24800. The biggest common factor number is the GCF number.
So the greatest common factor 24786 and 24800 is 2.

Also check out the Least Common Multiple of 24786 and 24800