What is the Greatest Common Factor of 57393 and 57407?

Greatest common factor (GCF) of 57393 and 57407 is 7.

GCF(57393,57407) = 7

We will now calculate the prime factors of 57393 and 57407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57393 and 57407.

How to find the GCF of 57393 and 57407?

We will first find the prime factorization of 57393 and 57407. After we will calculate the factors of 57393 and 57407 and find the biggest common factor number .

Step-1: Prime Factorization of 57393

Prime factors of 57393 are 3, 7, 911. Prime factorization of 57393 in exponential form is:

57393 = 3² × 7¹ × 911¹

Step-2: Prime Factorization of 57407

Prime factors of 57407 are 7, 59, 139. Prime factorization of 57407 in exponential form is:

57407 = 7¹ × 59¹ × 139¹

Step-3: Factors of 57393

List of positive integer factors of 57393 that divides 57393 without a remainder.

1, 3, 7, 9, 21, 63, 911, 2733, 6377, 8199, 19131

Step-4: Factors of 57407

List of positive integer factors of 57407 that divides 57393 without a remainder.

1, 7, 59, 139, 413, 973, 8201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57393 and 57407. The biggest common factor number is the GCF number.
So the greatest common factor 57393 and 57407 is 7.

Also check out the Least Common Multiple of 57393 and 57407