What is the Greatest Common Factor of 56848 and 56865?

Greatest common factor (GCF) of 56848 and 56865 is 17.

GCF(56848,56865) = 17

We will now calculate the prime factors of 56848 and 56865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56848 and 56865.

How to find the GCF of 56848 and 56865?

We will first find the prime factorization of 56848 and 56865. After we will calculate the factors of 56848 and 56865 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 56865

Prime factors of 56865 are 3, 5, 17, 223. Prime factorization of 56865 in exponential form is:

56865 = 3¹ × 5¹ × 17¹ × 223¹

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 56865

List of positive integer factors of 56865 that divides 56848 without a remainder.

1, 3, 5, 15, 17, 51, 85, 223, 255, 669, 1115, 3345, 3791, 11373, 18955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56848 and 56865. The biggest common factor number is the GCF number.
So the greatest common factor 56848 and 56865 is 17.

Also check out the Least Common Multiple of 56848 and 56865