What is the Greatest Common Factor of 29271 and 29282?

Greatest common factor (GCF) of 29271 and 29282 is 11.

GCF(29271,29282) = 11

We will now calculate the prime factors of 29271 and 29282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29271 and 29282.

How to find the GCF of 29271 and 29282?

We will first find the prime factorization of 29271 and 29282. After we will calculate the factors of 29271 and 29282 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29282

Prime factors of 29282 are 2, 11. Prime factorization of 29282 in exponential form is:

29282 = 2¹ × 11⁴

Step-3: Factors of 29271

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

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

Step-4: Factors of 29282

List of positive integer factors of 29282 that divides 29271 without a remainder.

1, 2, 11, 22, 121, 242, 1331, 2662, 14641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29271 and 29282. The biggest common factor number is the GCF number.
So the greatest common factor 29271 and 29282 is 11.

Also check out the Least Common Multiple of 29271 and 29282