What is the Greatest Common Factor of 24480 and 24497?

Greatest common factor (GCF) of 24480 and 24497 is 17.

GCF(24480,24497) = 17

We will now calculate the prime factors of 24480 and 24497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24480 and 24497.

How to find the GCF of 24480 and 24497?

We will first find the prime factorization of 24480 and 24497. After we will calculate the factors of 24480 and 24497 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 24497

Prime factors of 24497 are 11, 17, 131. Prime factorization of 24497 in exponential form is:

24497 = 11¹ × 17¹ × 131¹

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 24497

List of positive integer factors of 24497 that divides 24480 without a remainder.

1, 11, 17, 131, 187, 1441, 2227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24480 and 24497. The biggest common factor number is the GCF number.
So the greatest common factor 24480 and 24497 is 17.

Also check out the Least Common Multiple of 24480 and 24497