What is the Greatest Common Factor of 29556 and 29568?

Greatest common factor (GCF) of 29556 and 29568 is 12.

GCF(29556,29568) = 12

We will now calculate the prime factors of 29556 and 29568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29556 and 29568.

How to find the GCF of 29556 and 29568?

We will first find the prime factorization of 29556 and 29568. After we will calculate the factors of 29556 and 29568 and find the biggest common factor number .

Step-1: Prime Factorization of 29556

Prime factors of 29556 are 2, 3, 821. Prime factorization of 29556 in exponential form is:

29556 = 2² × 3² × 821¹

Step-2: Prime Factorization of 29568

Prime factors of 29568 are 2, 3, 7, 11. Prime factorization of 29568 in exponential form is:

29568 = 2⁷ × 3¹ × 7¹ × 11¹

Step-3: Factors of 29556

List of positive integer factors of 29556 that divides 29556 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 821, 1642, 2463, 3284, 4926, 7389, 9852, 14778

Step-4: Factors of 29568

List of positive integer factors of 29568 that divides 29556 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 64, 66, 77, 84, 88, 96, 112, 128, 132, 154, 168, 176, 192, 224, 231, 264, 308, 336, 352, 384, 448, 462, 528, 616, 672, 704, 896, 924, 1056, 1232, 1344, 1408, 1848, 2112, 2464, 2688, 3696, 4224, 4928, 7392, 9856, 14784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29556 and 29568. The biggest common factor number is the GCF number.
So the greatest common factor 29556 and 29568 is 12.

Also check out the Least Common Multiple of 29556 and 29568