What is the Greatest Common Factor of 57342 and 57361?

Greatest common factor (GCF) of 57342 and 57361 is 19.

GCF(57342,57361) = 19

We will now calculate the prime factors of 57342 and 57361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57342 and 57361.

How to find the GCF of 57342 and 57361?

We will first find the prime factorization of 57342 and 57361. After we will calculate the factors of 57342 and 57361 and find the biggest common factor number .

Step-1: Prime Factorization of 57342

Prime factors of 57342 are 2, 3, 19, 503. Prime factorization of 57342 in exponential form is:

57342 = 2¹ × 3¹ × 19¹ × 503¹

Step-2: Prime Factorization of 57361

Prime factors of 57361 are 19, 3019. Prime factorization of 57361 in exponential form is:

57361 = 19¹ × 3019¹

Step-3: Factors of 57342

List of positive integer factors of 57342 that divides 57342 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 503, 1006, 1509, 3018, 9557, 19114, 28671

Step-4: Factors of 57361

List of positive integer factors of 57361 that divides 57342 without a remainder.

1, 19, 3019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57342 and 57361. The biggest common factor number is the GCF number.
So the greatest common factor 57342 and 57361 is 19.

Also check out the Least Common Multiple of 57342 and 57361