What is the Greatest Common Factor of 29568 and 29582?

Greatest common factor (GCF) of 29568 and 29582 is 14.

GCF(29568,29582) = 14

We will now calculate the prime factors of 29568 and 29582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29568 and 29582.

How to find the GCF of 29568 and 29582?

We will first find the prime factorization of 29568 and 29582. After we will calculate the factors of 29568 and 29582 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 29582

Prime factors of 29582 are 2, 7, 2113. Prime factorization of 29582 in exponential form is:

29582 = 2¹ × 7¹ × 2113¹

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 29582

List of positive integer factors of 29582 that divides 29568 without a remainder.

1, 2, 7, 14, 2113, 4226, 14791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29568 and 29582. The biggest common factor number is the GCF number.
So the greatest common factor 29568 and 29582 is 14.

Also check out the Least Common Multiple of 29568 and 29582