What is the Greatest Common Factor of 56829 and 56848?

Greatest common factor (GCF) of 56829 and 56848 is 19.

GCF(56829,56848) = 19

We will now calculate the prime factors of 56829 and 56848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56829 and 56848.

How to find the GCF of 56829 and 56848?

We will first find the prime factorization of 56829 and 56848. After we will calculate the factors of 56829 and 56848 and find the biggest common factor number .

Step-1: Prime Factorization of 56829

Prime factors of 56829 are 3, 19, 997. Prime factorization of 56829 in exponential form is:

56829 = 3¹ × 19¹ × 997¹

Step-2: 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-3: Factors of 56829

List of positive integer factors of 56829 that divides 56829 without a remainder.

1, 3, 19, 57, 997, 2991, 18943

Step-4: Factors of 56848

List of positive integer factors of 56848 that divides 56829 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56829 and 56848. The biggest common factor number is the GCF number.
So the greatest common factor 56829 and 56848 is 19.

Also check out the Least Common Multiple of 56829 and 56848