What is the Greatest Common Factor of 24480 and 24500?

Greatest common factor (GCF) of 24480 and 24500 is 20.

GCF(24480,24500) = 20

We will now calculate the prime factors of 24480 and 24500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24480 and 24500.

How to find the GCF of 24480 and 24500?

We will first find the prime factorization of 24480 and 24500. After we will calculate the factors of 24480 and 24500 and find the biggest common factor number .

Step-1: Prime Factorization of 24480

Prime factors of 24480 are 2, 3, 5, 17. Prime factorization of 24480 in exponential form is:

24480 = 2⁵ × 3² × 5¹ × 17¹

Step-2: Prime Factorization of 24500

Prime factors of 24500 are 2, 5, 7. Prime factorization of 24500 in exponential form is:

24500 = 2² × 5³ × 7²

Step-3: Factors of 24480

List of positive integer factors of 24480 that divides 24480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 32, 34, 36, 40, 45, 48, 51, 60, 68, 72, 80, 85, 90, 96, 102, 120, 136, 144, 153, 160, 170, 180, 204, 240, 255, 272, 288, 306, 340, 360, 408, 480, 510, 544, 612, 680, 720, 765, 816, 1020, 1224, 1360, 1440, 1530, 1632, 2040, 2448, 2720, 3060, 4080, 4896, 6120, 8160, 12240

Step-4: Factors of 24500

List of positive integer factors of 24500 that divides 24480 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 125, 140, 175, 196, 245, 250, 350, 490, 500, 700, 875, 980, 1225, 1750, 2450, 3500, 4900, 6125, 12250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24480 and 24500. The biggest common factor number is the GCF number.
So the greatest common factor 24480 and 24500 is 20.

Also check out the Least Common Multiple of 24480 and 24500