What is the Greatest Common Factor of 47505 and 47520?

Greatest common factor (GCF) of 47505 and 47520 is 15.

GCF(47505,47520) = 15

We will now calculate the prime factors of 47505 and 47520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47505 and 47520.

How to find the GCF of 47505 and 47520?

We will first find the prime factorization of 47505 and 47520. After we will calculate the factors of 47505 and 47520 and find the biggest common factor number .

Step-1: Prime Factorization of 47505

Prime factors of 47505 are 3, 5, 3167. Prime factorization of 47505 in exponential form is:

47505 = 3¹ × 5¹ × 3167¹

Step-2: 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-3: Factors of 47505

List of positive integer factors of 47505 that divides 47505 without a remainder.

1, 3, 5, 15, 3167, 9501, 15835

Step-4: Factors of 47520

List of positive integer factors of 47520 that divides 47505 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47505 and 47520. The biggest common factor number is the GCF number.
So the greatest common factor 47505 and 47520 is 15.

Also check out the Least Common Multiple of 47505 and 47520