What is the Greatest Common Factor of 57342 and 57356?

Greatest common factor (GCF) of 57342 and 57356 is 2.

GCF(57342,57356) = 2

We will now calculate the prime factors of 57342 and 57356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57342 and 57356.

How to find the GCF of 57342 and 57356?

We will first find the prime factorization of 57342 and 57356. After we will calculate the factors of 57342 and 57356 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 57356

Prime factors of 57356 are 2, 13, 1103. Prime factorization of 57356 in exponential form is:

57356 = 2² × 13¹ × 1103¹

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 57356

List of positive integer factors of 57356 that divides 57342 without a remainder.

1, 2, 4, 13, 26, 52, 1103, 2206, 4412, 14339, 28678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57342 and 57356. The biggest common factor number is the GCF number.
So the greatest common factor 57342 and 57356 is 2.

Also check out the Least Common Multiple of 57342 and 57356