What is the Greatest Common Factor of 29568 and 29586?

Greatest common factor (GCF) of 29568 and 29586 is 6.

GCF(29568,29586) = 6

We will now calculate the prime factors of 29568 and 29586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29568 and 29586.

How to find the GCF of 29568 and 29586?

We will first find the prime factorization of 29568 and 29586. After we will calculate the factors of 29568 and 29586 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29586

Prime factors of 29586 are 2, 3, 4931. Prime factorization of 29586 in exponential form is:

29586 = 2¹ × 3¹ × 4931¹

Step-3: Factors of 29568

List of positive integer factors of 29568 that divides 29568 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

Step-4: Factors of 29586

List of positive integer factors of 29586 that divides 29568 without a remainder.

1, 2, 3, 6, 4931, 9862, 14793

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29568 and 29586. The biggest common factor number is the GCF number.
So the greatest common factor 29568 and 29586 is 6.

Also check out the Least Common Multiple of 29568 and 29586