What is the Greatest Common Factor of 24480 and 24495?

Greatest common factor (GCF) of 24480 and 24495 is 15.

GCF(24480,24495) = 15

We will now calculate the prime factors of 24480 and 24495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24480 and 24495.

How to find the GCF of 24480 and 24495?

We will first find the prime factorization of 24480 and 24495. After we will calculate the factors of 24480 and 24495 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 24495

Prime factors of 24495 are 3, 5, 23, 71. Prime factorization of 24495 in exponential form is:

24495 = 3¹ × 5¹ × 23¹ × 71¹

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 24495

List of positive integer factors of 24495 that divides 24480 without a remainder.

1, 3, 5, 15, 23, 69, 71, 115, 213, 345, 355, 1065, 1633, 4899, 8165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24480 and 24495. The biggest common factor number is the GCF number.
So the greatest common factor 24480 and 24495 is 15.

Also check out the Least Common Multiple of 24480 and 24495