What is the Greatest Common Factor of 29295 and 29303?

Greatest common factor (GCF) of 29295 and 29303 is 1.

GCF(29295,29303) = 1

We will now calculate the prime factors of 29295 and 29303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29295 and 29303.

How to find the GCF of 29295 and 29303?

We will first find the prime factorization of 29295 and 29303. After we will calculate the factors of 29295 and 29303 and find the biggest common factor number .

Step-1: Prime Factorization of 29295

Prime factors of 29295 are 3, 5, 7, 31. Prime factorization of 29295 in exponential form is:

29295 = 3³ × 5¹ × 7¹ × 31¹

Step-2: Prime Factorization of 29303

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

29303 = 29303¹

Step-3: Factors of 29295

List of positive integer factors of 29295 that divides 29295 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 31, 35, 45, 63, 93, 105, 135, 155, 189, 217, 279, 315, 465, 651, 837, 945, 1085, 1395, 1953, 3255, 4185, 5859, 9765

Step-4: Factors of 29303

List of positive integer factors of 29303 that divides 29295 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29295 and 29303. The biggest common factor number is the GCF number.
So the greatest common factor 29295 and 29303 is 1.

Also check out the Least Common Multiple of 29295 and 29303