What is the Greatest Common Factor of 57424 and 57437?

Greatest common factor (GCF) of 57424 and 57437 is 1.

GCF(57424,57437) = 1

We will now calculate the prime factors of 57424 and 57437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57424 and 57437.

How to find the GCF of 57424 and 57437?

We will first find the prime factorization of 57424 and 57437. After we will calculate the factors of 57424 and 57437 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 57437

Prime factors of 57437 are 19, 3023. Prime factorization of 57437 in exponential form is:

57437 = 19¹ × 3023¹

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 57437

List of positive integer factors of 57437 that divides 57424 without a remainder.

1, 19, 3023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57424 and 57437. The biggest common factor number is the GCF number.
So the greatest common factor 57424 and 57437 is 1.

Also check out the Least Common Multiple of 57424 and 57437