What is the Greatest Common Factor of 56848 and 56864?

Greatest common factor (GCF) of 56848 and 56864 is 16.

GCF(56848,56864) = 16

We will now calculate the prime factors of 56848 and 56864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56848 and 56864.

How to find the GCF of 56848 and 56864?

We will first find the prime factorization of 56848 and 56864. After we will calculate the factors of 56848 and 56864 and find the biggest common factor number .

Step-1: Prime Factorization of 56848

Prime factors of 56848 are 2, 11, 17, 19. Prime factorization of 56848 in exponential form is:

56848 = 2⁴ × 11¹ × 17¹ × 19¹

Step-2: Prime Factorization of 56864

Prime factors of 56864 are 2, 1777. Prime factorization of 56864 in exponential form is:

56864 = 2⁵ × 1777¹

Step-3: Factors of 56848

List of positive integer factors of 56848 that divides 56848 without a remainder.

1, 2, 4, 8, 11, 16, 17, 19, 22, 34, 38, 44, 68, 76, 88, 136, 152, 176, 187, 209, 272, 304, 323, 374, 418, 646, 748, 836, 1292, 1496, 1672, 2584, 2992, 3344, 3553, 5168, 7106, 14212, 28424

Step-4: Factors of 56864

List of positive integer factors of 56864 that divides 56848 without a remainder.

1, 2, 4, 8, 16, 32, 1777, 3554, 7108, 14216, 28432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56848 and 56864. The biggest common factor number is the GCF number.
So the greatest common factor 56848 and 56864 is 16.

Also check out the Least Common Multiple of 56848 and 56864