What is the Greatest Common Factor of 53850 and 53856?

Greatest common factor (GCF) of 53850 and 53856 is 6.

GCF(53850,53856) = 6

We will now calculate the prime factors of 53850 and 53856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53850 and 53856.

How to find the GCF of 53850 and 53856?

We will first find the prime factorization of 53850 and 53856. After we will calculate the factors of 53850 and 53856 and find the biggest common factor number .

Step-1: Prime Factorization of 53850

Prime factors of 53850 are 2, 3, 5, 359. Prime factorization of 53850 in exponential form is:

53850 = 2¹ × 3¹ × 5² × 359¹

Step-2: 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-3: Factors of 53850

List of positive integer factors of 53850 that divides 53850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 359, 718, 1077, 1795, 2154, 3590, 5385, 8975, 10770, 17950, 26925

Step-4: Factors of 53856

List of positive integer factors of 53856 that divides 53850 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53850 and 53856. The biggest common factor number is the GCF number.
So the greatest common factor 53850 and 53856 is 6.

Also check out the Least Common Multiple of 53850 and 53856