What is the Greatest Common Factor of 29556 and 29574?

Greatest common factor (GCF) of 29556 and 29574 is 18.

GCF(29556,29574) = 18

We will now calculate the prime factors of 29556 and 29574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29556 and 29574.

How to find the GCF of 29556 and 29574?

We will first find the prime factorization of 29556 and 29574. After we will calculate the factors of 29556 and 29574 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 29574

Prime factors of 29574 are 2, 3, 31, 53. Prime factorization of 29574 in exponential form is:

29574 = 2¹ × 3² × 31¹ × 53¹

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 29574

List of positive integer factors of 29574 that divides 29556 without a remainder.

1, 2, 3, 6, 9, 18, 31, 53, 62, 93, 106, 159, 186, 279, 318, 477, 558, 954, 1643, 3286, 4929, 9858, 14787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29556 and 29574. The biggest common factor number is the GCF number.
So the greatest common factor 29556 and 29574 is 18.

Also check out the Least Common Multiple of 29556 and 29574