What is the Greatest Common Factor of 56760 and 56772?

Greatest common factor (GCF) of 56760 and 56772 is 12.

GCF(56760,56772) = 12

We will now calculate the prime factors of 56760 and 56772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56760 and 56772.

How to find the GCF of 56760 and 56772?

We will first find the prime factorization of 56760 and 56772. After we will calculate the factors of 56760 and 56772 and find the biggest common factor number .

Step-1: Prime Factorization of 56760

Prime factors of 56760 are 2, 3, 5, 11, 43. Prime factorization of 56760 in exponential form is:

56760 = 2³ × 3¹ × 5¹ × 11¹ × 43¹

Step-2: 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-3: Factors of 56760

List of positive integer factors of 56760 that divides 56760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 43, 44, 55, 60, 66, 86, 88, 110, 120, 129, 132, 165, 172, 215, 220, 258, 264, 330, 344, 430, 440, 473, 516, 645, 660, 860, 946, 1032, 1290, 1320, 1419, 1720, 1892, 2365, 2580, 2838, 3784, 4730, 5160, 5676, 7095, 9460, 11352, 14190, 18920, 28380

Step-4: Factors of 56772

List of positive integer factors of 56772 that divides 56760 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56760 and 56772. The biggest common factor number is the GCF number.
So the greatest common factor 56760 and 56772 is 12.

Also check out the Least Common Multiple of 56760 and 56772