What is the Greatest Common Factor of 29323 and 29330?

Greatest common factor (GCF) of 29323 and 29330 is 7.

GCF(29323,29330) = 7

We will now calculate the prime factors of 29323 and 29330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29323 and 29330.

How to find the GCF of 29323 and 29330?

We will first find the prime factorization of 29323 and 29330. After we will calculate the factors of 29323 and 29330 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 29330

Prime factors of 29330 are 2, 5, 7, 419. Prime factorization of 29330 in exponential form is:

29330 = 2¹ × 5¹ × 7¹ × 419¹

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 29330

List of positive integer factors of 29330 that divides 29323 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 419, 838, 2095, 2933, 4190, 5866, 14665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29323 and 29330. The biggest common factor number is the GCF number.
So the greatest common factor 29323 and 29330 is 7.

Also check out the Least Common Multiple of 29323 and 29330