What is the Greatest Common Factor of 29238 and 29253?

Greatest common factor (GCF) of 29238 and 29253 is 3.

GCF(29238,29253) = 3

We will now calculate the prime factors of 29238 and 29253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29238 and 29253.

How to find the GCF of 29238 and 29253?

We will first find the prime factorization of 29238 and 29253. After we will calculate the factors of 29238 and 29253 and find the biggest common factor number .

Step-1: Prime Factorization of 29238

Prime factors of 29238 are 2, 3, 11, 443. Prime factorization of 29238 in exponential form is:

29238 = 2¹ × 3¹ × 11¹ × 443¹

Step-2: Prime Factorization of 29253

Prime factors of 29253 are 3, 7, 199. Prime factorization of 29253 in exponential form is:

29253 = 3¹ × 7² × 199¹

Step-3: Factors of 29238

List of positive integer factors of 29238 that divides 29238 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 443, 886, 1329, 2658, 4873, 9746, 14619

Step-4: Factors of 29253

List of positive integer factors of 29253 that divides 29238 without a remainder.

1, 3, 7, 21, 49, 147, 199, 597, 1393, 4179, 9751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29238 and 29253. The biggest common factor number is the GCF number.
So the greatest common factor 29238 and 29253 is 3.

Also check out the Least Common Multiple of 29238 and 29253