What is the Greatest Common Factor of 47520 and 47527?

Greatest common factor (GCF) of 47520 and 47527 is 1.

GCF(47520,47527) = 1

We will now calculate the prime factors of 47520 and 47527, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47520 and 47527.

How to find the GCF of 47520 and 47527?

We will first find the prime factorization of 47520 and 47527. After we will calculate the factors of 47520 and 47527 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 47527

Prime factors of 47527 are 47527. Prime factorization of 47527 in exponential form is:

47527 = 47527¹

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 47527

List of positive integer factors of 47527 that divides 47520 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47520 and 47527. The biggest common factor number is the GCF number.
So the greatest common factor 47520 and 47527 is 1.

Also check out the Least Common Multiple of 47520 and 47527