What is the Greatest Common Factor of 49324 and 49343?

Greatest common factor (GCF) of 49324 and 49343 is 19.

GCF(49324,49343) = 19

We will now calculate the prime factors of 49324 and 49343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49324 and 49343.

How to find the GCF of 49324 and 49343?

We will first find the prime factorization of 49324 and 49343. After we will calculate the factors of 49324 and 49343 and find the biggest common factor number .

Step-1: Prime Factorization of 49324

Prime factors of 49324 are 2, 11, 19, 59. Prime factorization of 49324 in exponential form is:

49324 = 2² × 11¹ × 19¹ × 59¹

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 49324

List of positive integer factors of 49324 that divides 49324 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 59, 76, 118, 209, 236, 418, 649, 836, 1121, 1298, 2242, 2596, 4484, 12331, 24662

Step-4: Factors of 49343

List of positive integer factors of 49343 that divides 49324 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 49324 and 49343. The biggest common factor number is the GCF number.
So the greatest common factor 49324 and 49343 is 19.

Also check out the Least Common Multiple of 49324 and 49343