What is the Greatest Common Factor of 49343 and 49363?

Greatest common factor (GCF) of 49343 and 49363 is 1.

GCF(49343,49363) = 1

We will now calculate the prime factors of 49343 and 49363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49343 and 49363.

How to find the GCF of 49343 and 49363?

We will first find the prime factorization of 49343 and 49363. After we will calculate the factors of 49343 and 49363 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49363

Prime factors of 49363 are 49363. Prime factorization of 49363 in exponential form is:

49363 = 49363¹

Step-3: Factors of 49343

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

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

Step-4: Factors of 49363

List of positive integer factors of 49363 that divides 49343 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49343 and 49363. The biggest common factor number is the GCF number.
So the greatest common factor 49343 and 49363 is 1.

Also check out the Least Common Multiple of 49343 and 49363