What is the Greatest Common Factor of 56848 and 56858?

Greatest common factor (GCF) of 56848 and 56858 is 2.

GCF(56848,56858) = 2

We will now calculate the prime factors of 56848 and 56858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56848 and 56858.

How to find the GCF of 56848 and 56858?

We will first find the prime factorization of 56848 and 56858. After we will calculate the factors of 56848 and 56858 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 56858

Prime factors of 56858 are 2, 28429. Prime factorization of 56858 in exponential form is:

56858 = 2¹ × 28429¹

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 56858

List of positive integer factors of 56858 that divides 56848 without a remainder.

1, 2, 28429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56848 and 56858. The biggest common factor number is the GCF number.
So the greatest common factor 56848 and 56858 is 2.

Also check out the Least Common Multiple of 56848 and 56858