What is the Greatest Common Factor of 57409 and 57423?

Greatest common factor (GCF) of 57409 and 57423 is 1.

GCF(57409,57423) = 1

We will now calculate the prime factors of 57409 and 57423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57409 and 57423.

How to find the GCF of 57409 and 57423?

We will first find the prime factorization of 57409 and 57423. After we will calculate the factors of 57409 and 57423 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 57423

Prime factors of 57423 are 3, 19141. Prime factorization of 57423 in exponential form is:

57423 = 3¹ × 19141¹

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 57423

List of positive integer factors of 57423 that divides 57409 without a remainder.

1, 3, 19141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57409 and 57423. The biggest common factor number is the GCF number.
So the greatest common factor 57409 and 57423 is 1.

Also check out the Least Common Multiple of 57409 and 57423