What is the Greatest Common Factor of 29316 and 29323?

Greatest common factor (GCF) of 29316 and 29323 is 7.

GCF(29316,29323) = 7

We will now calculate the prime factors of 29316 and 29323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29316 and 29323.

How to find the GCF of 29316 and 29323?

We will first find the prime factorization of 29316 and 29323. After we will calculate the factors of 29316 and 29323 and find the biggest common factor number .

Step-1: Prime Factorization of 29316

Prime factors of 29316 are 2, 3, 7, 349. Prime factorization of 29316 in exponential form is:

29316 = 2² × 3¹ × 7¹ × 349¹

Step-2: 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-3: Factors of 29316

List of positive integer factors of 29316 that divides 29316 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 349, 698, 1047, 1396, 2094, 2443, 4188, 4886, 7329, 9772, 14658

Step-4: Factors of 29323

List of positive integer factors of 29323 that divides 29316 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29316 and 29323. The biggest common factor number is the GCF number.
So the greatest common factor 29316 and 29323 is 7.

Also check out the Least Common Multiple of 29316 and 29323