What is the Greatest Common Factor of 56784 and 56798?

Greatest common factor (GCF) of 56784 and 56798 is 14.

GCF(56784,56798) = 14

We will now calculate the prime factors of 56784 and 56798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56784 and 56798.

How to find the GCF of 56784 and 56798?

We will first find the prime factorization of 56784 and 56798. After we will calculate the factors of 56784 and 56798 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 56798

Prime factors of 56798 are 2, 7, 4057. Prime factorization of 56798 in exponential form is:

56798 = 2¹ × 7¹ × 4057¹

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 56798

List of positive integer factors of 56798 that divides 56784 without a remainder.

1, 2, 7, 14, 4057, 8114, 28399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56784 and 56798. The biggest common factor number is the GCF number.
So the greatest common factor 56784 and 56798 is 14.

Also check out the Least Common Multiple of 56784 and 56798