What is the Greatest Common Factor of 49329 and 49343?

Greatest common factor (GCF) of 49329 and 49343 is 7.

GCF(49329,49343) = 7

We will now calculate the prime factors of 49329 and 49343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49329 and 49343.

How to find the GCF of 49329 and 49343?

We will first find the prime factorization of 49329 and 49343. After we will calculate the factors of 49329 and 49343 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49343

Prime factors of 49343 are 7, 19, 53. Prime factorization of 49343 in exponential form is:

49343 = 7² × 19¹ × 53¹

Step-3: Factors of 49329

List of positive integer factors of 49329 that divides 49329 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

Step-4: Factors of 49343

List of positive integer factors of 49343 that divides 49329 without a remainder.

1, 7, 19, 49, 53, 133, 371, 931, 1007, 2597, 7049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49329 and 49343. The biggest common factor number is the GCF number.
So the greatest common factor 49329 and 49343 is 7.

Also check out the Least Common Multiple of 49329 and 49343