What is the Greatest Common Factor of 29292 and 29311?

Greatest common factor (GCF) of 29292 and 29311 is 1.

GCF(29292,29311) = 1

We will now calculate the prime factors of 29292 and 29311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29292 and 29311.

How to find the GCF of 29292 and 29311?

We will first find the prime factorization of 29292 and 29311. After we will calculate the factors of 29292 and 29311 and find the biggest common factor number .

Step-1: Prime Factorization of 29292

Prime factors of 29292 are 2, 3, 2441. Prime factorization of 29292 in exponential form is:

29292 = 2² × 3¹ × 2441¹

Step-2: Prime Factorization of 29311

Prime factors of 29311 are 29311. Prime factorization of 29311 in exponential form is:

29311 = 29311¹

Step-3: Factors of 29292

List of positive integer factors of 29292 that divides 29292 without a remainder.

1, 2, 3, 4, 6, 12, 2441, 4882, 7323, 9764, 14646

Step-4: Factors of 29311

List of positive integer factors of 29311 that divides 29292 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29292 and 29311. The biggest common factor number is the GCF number.
So the greatest common factor 29292 and 29311 is 1.

Also check out the Least Common Multiple of 29292 and 29311