What is the Greatest Common Factor of 29601 and 29621?

Greatest common factor (GCF) of 29601 and 29621 is 1.

GCF(29601,29621) = 1

We will now calculate the prime factors of 29601 and 29621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29601 and 29621.

How to find the GCF of 29601 and 29621?

We will first find the prime factorization of 29601 and 29621. After we will calculate the factors of 29601 and 29621 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 29621

Prime factors of 29621 are 19, 1559. Prime factorization of 29621 in exponential form is:

29621 = 19¹ × 1559¹

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 29621

List of positive integer factors of 29621 that divides 29601 without a remainder.

1, 19, 1559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29601 and 29621. The biggest common factor number is the GCF number.
So the greatest common factor 29601 and 29621 is 1.

Also check out the Least Common Multiple of 29601 and 29621