What is the Greatest Common Factor of 29337 and 29351?

Greatest common factor (GCF) of 29337 and 29351 is 7.

GCF(29337,29351) = 7

We will now calculate the prime factors of 29337 and 29351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29337 and 29351.

How to find the GCF of 29337 and 29351?

We will first find the prime factorization of 29337 and 29351. After we will calculate the factors of 29337 and 29351 and find the biggest common factor number .

Step-1: Prime Factorization of 29337

Prime factors of 29337 are 3, 7, 11, 127. Prime factorization of 29337 in exponential form is:

29337 = 3¹ × 7¹ × 11¹ × 127¹

Step-2: Prime Factorization of 29351

Prime factors of 29351 are 7, 599. Prime factorization of 29351 in exponential form is:

29351 = 7² × 599¹

Step-3: Factors of 29337

List of positive integer factors of 29337 that divides 29337 without a remainder.

1, 3, 7, 11, 21, 33, 77, 127, 231, 381, 889, 1397, 2667, 4191, 9779

Step-4: Factors of 29351

List of positive integer factors of 29351 that divides 29337 without a remainder.

1, 7, 49, 599, 4193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29337 and 29351. The biggest common factor number is the GCF number.
So the greatest common factor 29337 and 29351 is 7.

Also check out the Least Common Multiple of 29337 and 29351