What is the Greatest Common Factor of 53856 and 53870?

Greatest common factor (GCF) of 53856 and 53870 is 2.

GCF(53856,53870) = 2

We will now calculate the prime factors of 53856 and 53870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53856 and 53870.

How to find the GCF of 53856 and 53870?

We will first find the prime factorization of 53856 and 53870. After we will calculate the factors of 53856 and 53870 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 53870

Prime factors of 53870 are 2, 5, 5387. Prime factorization of 53870 in exponential form is:

53870 = 2¹ × 5¹ × 5387¹

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 53870

List of positive integer factors of 53870 that divides 53856 without a remainder.

1, 2, 5, 10, 5387, 10774, 26935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53856 and 53870. The biggest common factor number is the GCF number.
So the greatest common factor 53856 and 53870 is 2.

Also check out the Least Common Multiple of 53856 and 53870