What is the Greatest Common Factor of 57336 and 57342?

Greatest common factor (GCF) of 57336 and 57342 is 6.

GCF(57336,57342) = 6

We will now calculate the prime factors of 57336 and 57342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57336 and 57342.

How to find the GCF of 57336 and 57342?

We will first find the prime factorization of 57336 and 57342. After we will calculate the factors of 57336 and 57342 and find the biggest common factor number .

Step-1: Prime Factorization of 57336

Prime factors of 57336 are 2, 3, 2389. Prime factorization of 57336 in exponential form is:

57336 = 2³ × 3¹ × 2389¹

Step-2: 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-3: Factors of 57336

List of positive integer factors of 57336 that divides 57336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2389, 4778, 7167, 9556, 14334, 19112, 28668

Step-4: Factors of 57342

List of positive integer factors of 57342 that divides 57336 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57336 and 57342. The biggest common factor number is the GCF number.
So the greatest common factor 57336 and 57342 is 6.

Also check out the Least Common Multiple of 57336 and 57342