What is the Greatest Common Factor of 56826 and 56840?

Greatest common factor (GCF) of 56826 and 56840 is 14.

GCF(56826,56840) = 14

We will now calculate the prime factors of 56826 and 56840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56826 and 56840.

How to find the GCF of 56826 and 56840?

We will first find the prime factorization of 56826 and 56840. After we will calculate the factors of 56826 and 56840 and find the biggest common factor number .

Step-1: Prime Factorization of 56826

Prime factors of 56826 are 2, 3, 7, 11, 41. Prime factorization of 56826 in exponential form is:

56826 = 2¹ × 3² × 7¹ × 11¹ × 41¹

Step-2: 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-3: Factors of 56826

List of positive integer factors of 56826 that divides 56826 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 41, 42, 63, 66, 77, 82, 99, 123, 126, 154, 198, 231, 246, 287, 369, 451, 462, 574, 693, 738, 861, 902, 1353, 1386, 1722, 2583, 2706, 3157, 4059, 5166, 6314, 8118, 9471, 18942, 28413

Step-4: Factors of 56840

List of positive integer factors of 56840 that divides 56826 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56826 and 56840. The biggest common factor number is the GCF number.
So the greatest common factor 56826 and 56840 is 14.

Also check out the Least Common Multiple of 56826 and 56840