What is the Greatest Common Factor of 57424 and 57444?

Greatest common factor (GCF) of 57424 and 57444 is 4.

GCF(57424,57444) = 4

We will now calculate the prime factors of 57424 and 57444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57424 and 57444.

How to find the GCF of 57424 and 57444?

We will first find the prime factorization of 57424 and 57444. After we will calculate the factors of 57424 and 57444 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 57444

Prime factors of 57444 are 2, 3, 4787. Prime factorization of 57444 in exponential form is:

57444 = 2² × 3¹ × 4787¹

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 57444

List of positive integer factors of 57444 that divides 57424 without a remainder.

1, 2, 3, 4, 6, 12, 4787, 9574, 14361, 19148, 28722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57424 and 57444. The biggest common factor number is the GCF number.
So the greatest common factor 57424 and 57444 is 4.

Also check out the Least Common Multiple of 57424 and 57444