What is the Greatest Common Factor of 57567 and 57573?

Greatest common factor (GCF) of 57567 and 57573 is 3.

GCF(57567,57573) = 3

We will now calculate the prime factors of 57567 and 57573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57567 and 57573.

How to find the GCF of 57567 and 57573?

We will first find the prime factorization of 57567 and 57573. After we will calculate the factors of 57567 and 57573 and find the biggest common factor number .

Step-1: Prime Factorization of 57567

Prime factors of 57567 are 3, 31, 619. Prime factorization of 57567 in exponential form is:

57567 = 3¹ × 31¹ × 619¹

Step-2: Prime Factorization of 57573

Prime factors of 57573 are 3, 6397. Prime factorization of 57573 in exponential form is:

57573 = 3² × 6397¹

Step-3: Factors of 57567

List of positive integer factors of 57567 that divides 57567 without a remainder.

1, 3, 31, 93, 619, 1857, 19189

Step-4: Factors of 57573

List of positive integer factors of 57573 that divides 57567 without a remainder.

1, 3, 9, 6397, 19191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57567 and 57573. The biggest common factor number is the GCF number.
So the greatest common factor 57567 and 57573 is 3.

Also check out the Least Common Multiple of 57567 and 57573