What is the Greatest Common Factor of 56784 and 56797?

Greatest common factor (GCF) of 56784 and 56797 is 13.

GCF(56784,56797) = 13

We will now calculate the prime factors of 56784 and 56797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56784 and 56797.

How to find the GCF of 56784 and 56797?

We will first find the prime factorization of 56784 and 56797. After we will calculate the factors of 56784 and 56797 and find the biggest common factor number .

Step-1: Prime Factorization of 56784

Prime factors of 56784 are 2, 3, 7, 13. Prime factorization of 56784 in exponential form is:

56784 = 2⁴ × 3¹ × 7¹ × 13²

Step-2: Prime Factorization of 56797

Prime factors of 56797 are 13, 17, 257. Prime factorization of 56797 in exponential form is:

56797 = 13¹ × 17¹ × 257¹

Step-3: Factors of 56784

List of positive integer factors of 56784 that divides 56784 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 52, 56, 78, 84, 91, 104, 112, 156, 168, 169, 182, 208, 273, 312, 336, 338, 364, 507, 546, 624, 676, 728, 1014, 1092, 1183, 1352, 1456, 2028, 2184, 2366, 2704, 3549, 4056, 4368, 4732, 7098, 8112, 9464, 14196, 18928, 28392

Step-4: Factors of 56797

List of positive integer factors of 56797 that divides 56784 without a remainder.

1, 13, 17, 221, 257, 3341, 4369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56784 and 56797. The biggest common factor number is the GCF number.
So the greatest common factor 56784 and 56797 is 13.

Also check out the Least Common Multiple of 56784 and 56797