What is the Greatest Common Factor of 29588 and 29601?

Greatest common factor (GCF) of 29588 and 29601 is 13.

GCF(29588,29601) = 13

We will now calculate the prime factors of 29588 and 29601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29588 and 29601.

How to find the GCF of 29588 and 29601?

We will first find the prime factorization of 29588 and 29601. After we will calculate the factors of 29588 and 29601 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29601

Prime factors of 29601 are 3, 11, 13, 23. Prime factorization of 29601 in exponential form is:

29601 = 3² × 11¹ × 13¹ × 23¹

Step-3: Factors of 29588

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

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

Step-4: Factors of 29601

List of positive integer factors of 29601 that divides 29588 without a remainder.

1, 3, 9, 11, 13, 23, 33, 39, 69, 99, 117, 143, 207, 253, 299, 429, 759, 897, 1287, 2277, 2691, 3289, 9867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29588 and 29601. The biggest common factor number is the GCF number.
So the greatest common factor 29588 and 29601 is 13.

Also check out the Least Common Multiple of 29588 and 29601