What is the Greatest Common Factor of 29601 and 29614?

Greatest common factor (GCF) of 29601 and 29614 is 13.

GCF(29601,29614) = 13

We will now calculate the prime factors of 29601 and 29614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29601 and 29614.

How to find the GCF of 29601 and 29614?

We will first find the prime factorization of 29601 and 29614. After we will calculate the factors of 29601 and 29614 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29614

Prime factors of 29614 are 2, 13, 17, 67. Prime factorization of 29614 in exponential form is:

29614 = 2¹ × 13¹ × 17¹ × 67¹

Step-3: Factors of 29601

List of positive integer factors of 29601 that divides 29601 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

Step-4: Factors of 29614

List of positive integer factors of 29614 that divides 29601 without a remainder.

1, 2, 13, 17, 26, 34, 67, 134, 221, 442, 871, 1139, 1742, 2278, 14807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29601 and 29614. The biggest common factor number is the GCF number.
So the greatest common factor 29601 and 29614 is 13.

Also check out the Least Common Multiple of 29601 and 29614