What is the Greatest Common Factor of 57342 and 57348?

Greatest common factor (GCF) of 57342 and 57348 is 6.

GCF(57342,57348) = 6

We will now calculate the prime factors of 57342 and 57348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57342 and 57348.

How to find the GCF of 57342 and 57348?

We will first find the prime factorization of 57342 and 57348. After we will calculate the factors of 57342 and 57348 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 57348

Prime factors of 57348 are 2, 3, 59. Prime factorization of 57348 in exponential form is:

57348 = 2² × 3⁵ × 59¹

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 57348

List of positive integer factors of 57348 that divides 57342 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 81, 108, 118, 162, 177, 236, 243, 324, 354, 486, 531, 708, 972, 1062, 1593, 2124, 3186, 4779, 6372, 9558, 14337, 19116, 28674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57342 and 57348. The biggest common factor number is the GCF number.
So the greatest common factor 57342 and 57348 is 6.

Also check out the Least Common Multiple of 57342 and 57348