What is the Greatest Common Factor of 29559 and 29574?

Greatest common factor (GCF) of 29559 and 29574 is 3.

GCF(29559,29574) = 3

We will now calculate the prime factors of 29559 and 29574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29559 and 29574.

How to find the GCF of 29559 and 29574?

We will first find the prime factorization of 29559 and 29574. After we will calculate the factors of 29559 and 29574 and find the biggest common factor number .

Step-1: Prime Factorization of 29559

Prime factors of 29559 are 3, 59, 167. Prime factorization of 29559 in exponential form is:

29559 = 3¹ × 59¹ × 167¹

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 29559

List of positive integer factors of 29559 that divides 29559 without a remainder.

1, 3, 59, 167, 177, 501, 9853

Step-4: Factors of 29574

List of positive integer factors of 29574 that divides 29559 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 29559 and 29574. The biggest common factor number is the GCF number.
So the greatest common factor 29559 and 29574 is 3.

Also check out the Least Common Multiple of 29559 and 29574