What is the Greatest Common Factor of 56784 and 56791?

Greatest common factor (GCF) of 56784 and 56791 is 7.

GCF(56784,56791) = 7

We will now calculate the prime factors of 56784 and 56791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56784 and 56791.

How to find the GCF of 56784 and 56791?

We will first find the prime factorization of 56784 and 56791. After we will calculate the factors of 56784 and 56791 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 56791

Prime factors of 56791 are 7, 19, 61. Prime factorization of 56791 in exponential form is:

56791 = 7² × 19¹ × 61¹

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 56791

List of positive integer factors of 56791 that divides 56784 without a remainder.

1, 7, 19, 49, 61, 133, 427, 931, 1159, 2989, 8113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56784 and 56791. The biggest common factor number is the GCF number.
So the greatest common factor 56784 and 56791 is 7.

Also check out the Least Common Multiple of 56784 and 56791