What is the Greatest Common Factor of 29253 and 29271?

Greatest common factor (GCF) of 29253 and 29271 is 3.

GCF(29253,29271) = 3

We will now calculate the prime factors of 29253 and 29271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29253 and 29271.

How to find the GCF of 29253 and 29271?

We will first find the prime factorization of 29253 and 29271. After we will calculate the factors of 29253 and 29271 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29271

Prime factors of 29271 are 3, 11, 887. Prime factorization of 29271 in exponential form is:

29271 = 3¹ × 11¹ × 887¹

Step-3: Factors of 29253

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

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

Step-4: Factors of 29271

List of positive integer factors of 29271 that divides 29253 without a remainder.

1, 3, 11, 33, 887, 2661, 9757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29253 and 29271. The biggest common factor number is the GCF number.
So the greatest common factor 29253 and 29271 is 3.

Also check out the Least Common Multiple of 29253 and 29271