What is the Greatest Common Factor of 29323 and 29337?

Greatest common factor (GCF) of 29323 and 29337 is 7.

GCF(29323,29337) = 7

We will now calculate the prime factors of 29323 and 29337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29323 and 29337.

How to find the GCF of 29323 and 29337?

We will first find the prime factorization of 29323 and 29337. After we will calculate the factors of 29323 and 29337 and find the biggest common factor number .

Step-1: Prime Factorization of 29323

Prime factors of 29323 are 7, 59, 71. Prime factorization of 29323 in exponential form is:

29323 = 7¹ × 59¹ × 71¹

Step-2: 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-3: Factors of 29323

List of positive integer factors of 29323 that divides 29323 without a remainder.

1, 7, 59, 71, 413, 497, 4189

Step-4: Factors of 29337

List of positive integer factors of 29337 that divides 29323 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29323 and 29337. The biggest common factor number is the GCF number.
So the greatest common factor 29323 and 29337 is 7.

Also check out the Least Common Multiple of 29323 and 29337