What is the Greatest Common Factor of 49343 and 49362?

Greatest common factor (GCF) of 49343 and 49362 is 19.

GCF(49343,49362) = 19

We will now calculate the prime factors of 49343 and 49362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49343 and 49362.

How to find the GCF of 49343 and 49362?

We will first find the prime factorization of 49343 and 49362. After we will calculate the factors of 49343 and 49362 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 49362

Prime factors of 49362 are 2, 3, 19, 433. Prime factorization of 49362 in exponential form is:

49362 = 2¹ × 3¹ × 19¹ × 433¹

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 49362

List of positive integer factors of 49362 that divides 49343 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 433, 866, 1299, 2598, 8227, 16454, 24681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49343 and 49362. The biggest common factor number is the GCF number.
So the greatest common factor 49343 and 49362 is 19.

Also check out the Least Common Multiple of 49343 and 49362