What is the Greatest Common Factor of 56769 and 56784?

Greatest common factor (GCF) of 56769 and 56784 is 3.

GCF(56769,56784) = 3

We will now calculate the prime factors of 56769 and 56784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56769 and 56784.

How to find the GCF of 56769 and 56784?

We will first find the prime factorization of 56769 and 56784. After we will calculate the factors of 56769 and 56784 and find the biggest common factor number .

Step-1: Prime Factorization of 56769

Prime factors of 56769 are 3, 127, 149. Prime factorization of 56769 in exponential form is:

56769 = 3¹ × 127¹ × 149¹

Step-2: 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-3: Factors of 56769

List of positive integer factors of 56769 that divides 56769 without a remainder.

1, 3, 127, 149, 381, 447, 18923

Step-4: Factors of 56784

List of positive integer factors of 56784 that divides 56769 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56769 and 56784. The biggest common factor number is the GCF number.
So the greatest common factor 56769 and 56784 is 3.

Also check out the Least Common Multiple of 56769 and 56784