What is the Greatest Common Factor of 56772 and 56784?

Greatest common factor (GCF) of 56772 and 56784 is 12.

GCF(56772,56784) = 12

We will now calculate the prime factors of 56772 and 56784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56772 and 56784.

How to find the GCF of 56772 and 56784?

We will first find the prime factorization of 56772 and 56784. After we will calculate the factors of 56772 and 56784 and find the biggest common factor number .

Step-1: Prime Factorization of 56772

Prime factors of 56772 are 2, 3, 19, 83. Prime factorization of 56772 in exponential form is:

56772 = 2² × 3² × 19¹ × 83¹

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 56772

List of positive integer factors of 56772 that divides 56772 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 83, 114, 166, 171, 228, 249, 332, 342, 498, 684, 747, 996, 1494, 1577, 2988, 3154, 4731, 6308, 9462, 14193, 18924, 28386

Step-4: Factors of 56784

List of positive integer factors of 56784 that divides 56772 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 56772 and 56784. The biggest common factor number is the GCF number.
So the greatest common factor 56772 and 56784 is 12.

Also check out the Least Common Multiple of 56772 and 56784