What is the Greatest Common Factor of 57345 and 57352?

Greatest common factor (GCF) of 57345 and 57352 is 1.

GCF(57345,57352) = 1

We will now calculate the prime factors of 57345 and 57352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57345 and 57352.

How to find the GCF of 57345 and 57352?

We will first find the prime factorization of 57345 and 57352. After we will calculate the factors of 57345 and 57352 and find the biggest common factor number .

Step-1: Prime Factorization of 57345

Prime factors of 57345 are 3, 5, 3823. Prime factorization of 57345 in exponential form is:

57345 = 3¹ × 5¹ × 3823¹

Step-2: Prime Factorization of 57352

Prime factors of 57352 are 2, 67, 107. Prime factorization of 57352 in exponential form is:

57352 = 2³ × 67¹ × 107¹

Step-3: Factors of 57345

List of positive integer factors of 57345 that divides 57345 without a remainder.

1, 3, 5, 15, 3823, 11469, 19115

Step-4: Factors of 57352

List of positive integer factors of 57352 that divides 57345 without a remainder.

1, 2, 4, 8, 67, 107, 134, 214, 268, 428, 536, 856, 7169, 14338, 28676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57345 and 57352. The biggest common factor number is the GCF number.
So the greatest common factor 57345 and 57352 is 1.

Also check out the Least Common Multiple of 57345 and 57352