What is the Greatest Common Factor of 57424 and 57443?

Greatest common factor (GCF) of 57424 and 57443 is 1.

GCF(57424,57443) = 1

We will now calculate the prime factors of 57424 and 57443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57424 and 57443.

How to find the GCF of 57424 and 57443?

We will first find the prime factorization of 57424 and 57443. After we will calculate the factors of 57424 and 57443 and find the biggest common factor number .

Step-1: Prime Factorization of 57424

Prime factors of 57424 are 2, 37, 97. Prime factorization of 57424 in exponential form is:

57424 = 2⁴ × 37¹ × 97¹

Step-2: Prime Factorization of 57443

Prime factors of 57443 are 17, 31, 109. Prime factorization of 57443 in exponential form is:

57443 = 17¹ × 31¹ × 109¹

Step-3: Factors of 57424

List of positive integer factors of 57424 that divides 57424 without a remainder.

1, 2, 4, 8, 16, 37, 74, 97, 148, 194, 296, 388, 592, 776, 1552, 3589, 7178, 14356, 28712

Step-4: Factors of 57443

List of positive integer factors of 57443 that divides 57424 without a remainder.

1, 17, 31, 109, 527, 1853, 3379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57424 and 57443. The biggest common factor number is the GCF number.
So the greatest common factor 57424 and 57443 is 1.

Also check out the Least Common Multiple of 57424 and 57443