What is the Greatest Common Factor of 53840 and 53856?

Greatest common factor (GCF) of 53840 and 53856 is 16.

GCF(53840,53856) = 16

We will now calculate the prime factors of 53840 and 53856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53840 and 53856.

How to find the GCF of 53840 and 53856?

We will first find the prime factorization of 53840 and 53856. After we will calculate the factors of 53840 and 53856 and find the biggest common factor number .

Step-1: Prime Factorization of 53840

Prime factors of 53840 are 2, 5, 673. Prime factorization of 53840 in exponential form is:

53840 = 2⁴ × 5¹ × 673¹

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 53840

List of positive integer factors of 53840 that divides 53840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 673, 1346, 2692, 3365, 5384, 6730, 10768, 13460, 26920

Step-4: Factors of 53856

List of positive integer factors of 53856 that divides 53840 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 53840 and 53856. The biggest common factor number is the GCF number.
So the greatest common factor 53840 and 53856 is 16.

Also check out the Least Common Multiple of 53840 and 53856