What is the Greatest Common Factor of 29303 and 29322?

Greatest common factor (GCF) of 29303 and 29322 is 1.

GCF(29303,29322) = 1

We will now calculate the prime factors of 29303 and 29322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29303 and 29322.

How to find the GCF of 29303 and 29322?

We will first find the prime factorization of 29303 and 29322. After we will calculate the factors of 29303 and 29322 and find the biggest common factor number .

Step-1: Prime Factorization of 29303

Prime factors of 29303 are 29303. Prime factorization of 29303 in exponential form is:

29303 = 29303¹

Step-2: Prime Factorization of 29322

Prime factors of 29322 are 2, 3, 181. Prime factorization of 29322 in exponential form is:

29322 = 2¹ × 3⁴ × 181¹

Step-3: Factors of 29303

List of positive integer factors of 29303 that divides 29303 without a remainder.

Step-4: Factors of 29322

List of positive integer factors of 29322 that divides 29303 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 181, 362, 543, 1086, 1629, 3258, 4887, 9774, 14661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29303 and 29322. The biggest common factor number is the GCF number.
So the greatest common factor 29303 and 29322 is 1.

Also check out the Least Common Multiple of 29303 and 29322