What is the Greatest Common Factor of 47520 and 47526?

Greatest common factor (GCF) of 47520 and 47526 is 6.

GCF(47520,47526) = 6

We will now calculate the prime factors of 47520 and 47526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47520 and 47526.

How to find the GCF of 47520 and 47526?

We will first find the prime factorization of 47520 and 47526. After we will calculate the factors of 47520 and 47526 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 47526

Prime factors of 47526 are 2, 3, 89. Prime factorization of 47526 in exponential form is:

47526 = 2¹ × 3¹ × 89²

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 47526

List of positive integer factors of 47526 that divides 47520 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534, 7921, 15842, 23763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47520 and 47526. The biggest common factor number is the GCF number.
So the greatest common factor 47520 and 47526 is 6.

Also check out the Least Common Multiple of 47520 and 47526