What is the Greatest Common Factor of 56784 and 56788?

Greatest common factor (GCF) of 56784 and 56788 is 4.

GCF(56784,56788) = 4

We will now calculate the prime factors of 56784 and 56788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56784 and 56788.

How to find the GCF of 56784 and 56788?

We will first find the prime factorization of 56784 and 56788. After we will calculate the factors of 56784 and 56788 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 56788

Prime factors of 56788 are 2, 14197. Prime factorization of 56788 in exponential form is:

56788 = 2² × 14197¹

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 56788

List of positive integer factors of 56788 that divides 56784 without a remainder.

1, 2, 4, 14197, 28394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56784 and 56788. The biggest common factor number is the GCF number.
So the greatest common factor 56784 and 56788 is 4.

Also check out the Least Common Multiple of 56784 and 56788