What is the Greatest Common Factor of 53856 and 53876?

Greatest common factor (GCF) of 53856 and 53876 is 4.

GCF(53856,53876) = 4

We will now calculate the prime factors of 53856 and 53876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53856 and 53876.

How to find the GCF of 53856 and 53876?

We will first find the prime factorization of 53856 and 53876. After we will calculate the factors of 53856 and 53876 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 53876

Prime factors of 53876 are 2, 13469. Prime factorization of 53876 in exponential form is:

53876 = 2² × 13469¹

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 53876

List of positive integer factors of 53876 that divides 53856 without a remainder.

1, 2, 4, 13469, 26938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53856 and 53876. The biggest common factor number is the GCF number.
So the greatest common factor 53856 and 53876 is 4.

Also check out the Least Common Multiple of 53856 and 53876