What is the Greatest Common Factor of 56840 and 56856?

Greatest common factor (GCF) of 56840 and 56856 is 8.

GCF(56840,56856) = 8

We will now calculate the prime factors of 56840 and 56856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56840 and 56856.

How to find the GCF of 56840 and 56856?

We will first find the prime factorization of 56840 and 56856. After we will calculate the factors of 56840 and 56856 and find the biggest common factor number .

Step-1: Prime Factorization of 56840

Prime factors of 56840 are 2, 5, 7, 29. Prime factorization of 56840 in exponential form is:

56840 = 2³ × 5¹ × 7² × 29¹

Step-2: Prime Factorization of 56856

Prime factors of 56856 are 2, 3, 23, 103. Prime factorization of 56856 in exponential form is:

56856 = 2³ × 3¹ × 23¹ × 103¹

Step-3: Factors of 56840

List of positive integer factors of 56840 that divides 56840 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 49, 56, 58, 70, 98, 116, 140, 145, 196, 203, 232, 245, 280, 290, 392, 406, 490, 580, 812, 980, 1015, 1160, 1421, 1624, 1960, 2030, 2842, 4060, 5684, 7105, 8120, 11368, 14210, 28420

Step-4: Factors of 56856

List of positive integer factors of 56856 that divides 56840 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 103, 138, 184, 206, 276, 309, 412, 552, 618, 824, 1236, 2369, 2472, 4738, 7107, 9476, 14214, 18952, 28428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56840 and 56856. The biggest common factor number is the GCF number.
So the greatest common factor 56840 and 56856 is 8.

Also check out the Least Common Multiple of 56840 and 56856