What is the Greatest Common Factor of 47520 and 47531?

Greatest common factor (GCF) of 47520 and 47531 is 11.

GCF(47520,47531) = 11

We will now calculate the prime factors of 47520 and 47531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47520 and 47531.

How to find the GCF of 47520 and 47531?

We will first find the prime factorization of 47520 and 47531. After we will calculate the factors of 47520 and 47531 and find the biggest common factor number .

Step-1: Prime Factorization of 47520

Prime factors of 47520 are 2, 3, 5, 11. Prime factorization of 47520 in exponential form is:

47520 = 2⁵ × 3³ × 5¹ × 11¹

Step-2: Prime Factorization of 47531

Prime factors of 47531 are 11, 29, 149. Prime factorization of 47531 in exponential form is:

47531 = 11¹ × 29¹ × 149¹

Step-3: Factors of 47520

List of positive integer factors of 47520 that divides 47520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 27, 30, 32, 33, 36, 40, 44, 45, 48, 54, 55, 60, 66, 72, 80, 88, 90, 96, 99, 108, 110, 120, 132, 135, 144, 160, 165, 176, 180, 198, 216, 220, 240, 264, 270, 288, 297, 330, 352, 360, 396, 432, 440, 480, 495, 528, 540, 594, 660, 720, 792, 864, 880, 990, 1056, 1080, 1188, 1320, 1440, 1485, 1584, 1760, 1980, 2160, 2376, 2640, 2970, 3168, 3960, 4320, 4752, 5280, 5940, 7920, 9504, 11880, 15840, 23760

Step-4: Factors of 47531

List of positive integer factors of 47531 that divides 47520 without a remainder.

1, 11, 29, 149, 319, 1639, 4321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47520 and 47531. The biggest common factor number is the GCF number.
So the greatest common factor 47520 and 47531 is 11.

Also check out the Least Common Multiple of 47520 and 47531