What is the Greatest Common Factor of 29330 and 29349?

Greatest common factor (GCF) of 29330 and 29349 is 1.

GCF(29330,29349) = 1

We will now calculate the prime factors of 29330 and 29349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29330 and 29349.

How to find the GCF of 29330 and 29349?

We will first find the prime factorization of 29330 and 29349. After we will calculate the factors of 29330 and 29349 and find the biggest common factor number .

Step-1: Prime Factorization of 29330

Prime factors of 29330 are 2, 5, 7, 419. Prime factorization of 29330 in exponential form is:

29330 = 2¹ × 5¹ × 7¹ × 419¹

Step-2: Prime Factorization of 29349

Prime factors of 29349 are 3, 1087. Prime factorization of 29349 in exponential form is:

29349 = 3³ × 1087¹

Step-3: Factors of 29330

List of positive integer factors of 29330 that divides 29330 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 419, 838, 2095, 2933, 4190, 5866, 14665

Step-4: Factors of 29349

List of positive integer factors of 29349 that divides 29330 without a remainder.

1, 3, 9, 27, 1087, 3261, 9783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29330 and 29349. The biggest common factor number is the GCF number.
So the greatest common factor 29330 and 29349 is 1.

Also check out the Least Common Multiple of 29330 and 29349