What is the Greatest Common Factor of 24472 and 24480?

Greatest common factor (GCF) of 24472 and 24480 is 8.

GCF(24472,24480) = 8

We will now calculate the prime factors of 24472 and 24480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24472 and 24480.

How to find the GCF of 24472 and 24480?

We will first find the prime factorization of 24472 and 24480. After we will calculate the factors of 24472 and 24480 and find the biggest common factor number .

Step-1: Prime Factorization of 24472

Prime factors of 24472 are 2, 7, 19, 23. Prime factorization of 24472 in exponential form is:

24472 = 2³ × 7¹ × 19¹ × 23¹

Step-2: 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-3: Factors of 24472

List of positive integer factors of 24472 that divides 24472 without a remainder.

1, 2, 4, 7, 8, 14, 19, 23, 28, 38, 46, 56, 76, 92, 133, 152, 161, 184, 266, 322, 437, 532, 644, 874, 1064, 1288, 1748, 3059, 3496, 6118, 12236

Step-4: Factors of 24480

List of positive integer factors of 24480 that divides 24472 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24472 and 24480. The biggest common factor number is the GCF number.
So the greatest common factor 24472 and 24480 is 8.

Also check out the Least Common Multiple of 24472 and 24480