What is the Greatest Common Factor of 57409 and 57427?

Greatest common factor (GCF) of 57409 and 57427 is 1.

GCF(57409,57427) = 1

We will now calculate the prime factors of 57409 and 57427, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57409 and 57427.

How to find the GCF of 57409 and 57427?

We will first find the prime factorization of 57409 and 57427. After we will calculate the factors of 57409 and 57427 and find the biggest common factor number .

Step-1: Prime Factorization of 57409

Prime factors of 57409 are 11, 17, 307. Prime factorization of 57409 in exponential form is:

57409 = 11¹ × 17¹ × 307¹

Step-2: Prime Factorization of 57427

Prime factors of 57427 are 57427. Prime factorization of 57427 in exponential form is:

57427 = 57427¹

Step-3: Factors of 57409

List of positive integer factors of 57409 that divides 57409 without a remainder.

1, 11, 17, 187, 307, 3377, 5219

Step-4: Factors of 57427

List of positive integer factors of 57427 that divides 57409 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57409 and 57427. The biggest common factor number is the GCF number.
So the greatest common factor 57409 and 57427 is 1.

Also check out the Least Common Multiple of 57409 and 57427