What is the Greatest Common Factor of 56784 and 56796?

Greatest common factor (GCF) of 56784 and 56796 is 12.

GCF(56784,56796) = 12

We will now calculate the prime factors of 56784 and 56796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56784 and 56796.

How to find the GCF of 56784 and 56796?

We will first find the prime factorization of 56784 and 56796. After we will calculate the factors of 56784 and 56796 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 56796

Prime factors of 56796 are 2, 3, 4733. Prime factorization of 56796 in exponential form is:

56796 = 2² × 3¹ × 4733¹

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 56796

List of positive integer factors of 56796 that divides 56784 without a remainder.

1, 2, 3, 4, 6, 12, 4733, 9466, 14199, 18932, 28398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56784 and 56796. The biggest common factor number is the GCF number.
So the greatest common factor 56784 and 56796 is 12.

Also check out the Least Common Multiple of 56784 and 56796