What is the Greatest Common Factor of 29574 and 29588?

Greatest common factor (GCF) of 29574 and 29588 is 2.

GCF(29574,29588) = 2

We will now calculate the prime factors of 29574 and 29588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29574 and 29588.

How to find the GCF of 29574 and 29588?

We will first find the prime factorization of 29574 and 29588. After we will calculate the factors of 29574 and 29588 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29588

Prime factors of 29588 are 2, 13, 569. Prime factorization of 29588 in exponential form is:

29588 = 2² × 13¹ × 569¹

Step-3: Factors of 29574

List of positive integer factors of 29574 that divides 29574 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

Step-4: Factors of 29588

List of positive integer factors of 29588 that divides 29574 without a remainder.

1, 2, 4, 13, 26, 52, 569, 1138, 2276, 7397, 14794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29574 and 29588. The biggest common factor number is the GCF number.
So the greatest common factor 29574 and 29588 is 2.

Also check out the Least Common Multiple of 29574 and 29588