What is the Greatest Common Factor of 53856 and 53865?

Greatest common factor (GCF) of 53856 and 53865 is 9.

GCF(53856,53865) = 9

We will now calculate the prime factors of 53856 and 53865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53856 and 53865.

How to find the GCF of 53856 and 53865?

We will first find the prime factorization of 53856 and 53865. After we will calculate the factors of 53856 and 53865 and find the biggest common factor number .

Step-1: Prime Factorization of 53856

Prime factors of 53856 are 2, 3, 11, 17. Prime factorization of 53856 in exponential form is:

53856 = 2⁵ × 3² × 11¹ × 17¹

Step-2: Prime Factorization of 53865

Prime factors of 53865 are 3, 5, 7, 19. Prime factorization of 53865 in exponential form is:

53865 = 3⁴ × 5¹ × 7¹ × 19¹

Step-3: Factors of 53856

List of positive integer factors of 53856 that divides 53856 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 17, 18, 22, 24, 32, 33, 34, 36, 44, 48, 51, 66, 68, 72, 88, 96, 99, 102, 132, 136, 144, 153, 176, 187, 198, 204, 264, 272, 288, 306, 352, 374, 396, 408, 528, 544, 561, 612, 748, 792, 816, 1056, 1122, 1224, 1496, 1584, 1632, 1683, 2244, 2448, 2992, 3168, 3366, 4488, 4896, 5984, 6732, 8976, 13464, 17952, 26928

Step-4: Factors of 53865

List of positive integer factors of 53865 that divides 53856 without a remainder.

1, 3, 5, 7, 9, 15, 19, 21, 27, 35, 45, 57, 63, 81, 95, 105, 133, 135, 171, 189, 285, 315, 399, 405, 513, 567, 665, 855, 945, 1197, 1539, 1995, 2565, 2835, 3591, 5985, 7695, 10773, 17955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53856 and 53865. The biggest common factor number is the GCF number.
So the greatest common factor 53856 and 53865 is 9.

Also check out the Least Common Multiple of 53856 and 53865