What is the Greatest Common Factor of 49343 and 49357?

Greatest common factor (GCF) of 49343 and 49357 is 7.

GCF(49343,49357) = 7

We will now calculate the prime factors of 49343 and 49357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49343 and 49357.

How to find the GCF of 49343 and 49357?

We will first find the prime factorization of 49343 and 49357. After we will calculate the factors of 49343 and 49357 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 49357

Prime factors of 49357 are 7, 11, 641. Prime factorization of 49357 in exponential form is:

49357 = 7¹ × 11¹ × 641¹

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 49357

List of positive integer factors of 49357 that divides 49343 without a remainder.

1, 7, 11, 77, 641, 4487, 7051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49343 and 49357. The biggest common factor number is the GCF number.
So the greatest common factor 49343 and 49357 is 7.

Also check out the Least Common Multiple of 49343 and 49357