What is the Greatest Common Factor of 29590 and 29601?

Greatest common factor (GCF) of 29590 and 29601 is 11.

GCF(29590,29601) = 11

We will now calculate the prime factors of 29590 and 29601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29590 and 29601.

How to find the GCF of 29590 and 29601?

We will first find the prime factorization of 29590 and 29601. After we will calculate the factors of 29590 and 29601 and find the biggest common factor number .

Step-1: Prime Factorization of 29590

Prime factors of 29590 are 2, 5, 11, 269. Prime factorization of 29590 in exponential form is:

29590 = 2¹ × 5¹ × 11¹ × 269¹

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 29590

List of positive integer factors of 29590 that divides 29590 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 269, 538, 1345, 2690, 2959, 5918, 14795

Step-4: Factors of 29601

List of positive integer factors of 29601 that divides 29590 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 29590 and 29601. The biggest common factor number is the GCF number.
So the greatest common factor 29590 and 29601 is 11.

Also check out the Least Common Multiple of 29590 and 29601