What is the Greatest Common Factor of 49323 and 49329?

Greatest common factor (GCF) of 49323 and 49329 is 3.

GCF(49323,49329) = 3

We will now calculate the prime factors of 49323 and 49329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49323 and 49329.

How to find the GCF of 49323 and 49329?

We will first find the prime factorization of 49323 and 49329. After we will calculate the factors of 49323 and 49329 and find the biggest common factor number .

Step-1: Prime Factorization of 49323

Prime factors of 49323 are 3, 41, 401. Prime factorization of 49323 in exponential form is:

49323 = 3¹ × 41¹ × 401¹

Step-2: Prime Factorization of 49329

Prime factors of 49329 are 3, 7, 29. Prime factorization of 49329 in exponential form is:

49329 = 3⁵ × 7¹ × 29¹

Step-3: Factors of 49323

List of positive integer factors of 49323 that divides 49323 without a remainder.

1, 3, 41, 123, 401, 1203, 16441

Step-4: Factors of 49329

List of positive integer factors of 49329 that divides 49323 without a remainder.

1, 3, 7, 9, 21, 27, 29, 63, 81, 87, 189, 203, 243, 261, 567, 609, 783, 1701, 1827, 2349, 5481, 7047, 16443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49323 and 49329. The biggest common factor number is the GCF number.
So the greatest common factor 49323 and 49329 is 3.

Also check out the Least Common Multiple of 49323 and 49329