What is the Greatest Common Factor of 56848 and 56867?

Greatest common factor (GCF) of 56848 and 56867 is 19.

GCF(56848,56867) = 19

We will now calculate the prime factors of 56848 and 56867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56848 and 56867.

How to find the GCF of 56848 and 56867?

We will first find the prime factorization of 56848 and 56867. After we will calculate the factors of 56848 and 56867 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 56867

Prime factors of 56867 are 19, 41, 73. Prime factorization of 56867 in exponential form is:

56867 = 19¹ × 41¹ × 73¹

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 56867

List of positive integer factors of 56867 that divides 56848 without a remainder.

1, 19, 41, 73, 779, 1387, 2993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56848 and 56867. The biggest common factor number is the GCF number.
So the greatest common factor 56848 and 56867 is 19.

Also check out the Least Common Multiple of 56848 and 56867