What is the Greatest Common Factor of 57408 and 57424?

Greatest common factor (GCF) of 57408 and 57424 is 16.

GCF(57408,57424) = 16

We will now calculate the prime factors of 57408 and 57424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57408 and 57424.

How to find the GCF of 57408 and 57424?

We will first find the prime factorization of 57408 and 57424. After we will calculate the factors of 57408 and 57424 and find the biggest common factor number .

Step-1: Prime Factorization of 57408

Prime factors of 57408 are 2, 3, 13, 23. Prime factorization of 57408 in exponential form is:

57408 = 2⁶ × 3¹ × 13¹ × 23¹

Step-2: 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-3: Factors of 57408

List of positive integer factors of 57408 that divides 57408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 23, 24, 26, 32, 39, 46, 48, 52, 64, 69, 78, 92, 96, 104, 138, 156, 184, 192, 208, 276, 299, 312, 368, 416, 552, 598, 624, 736, 832, 897, 1104, 1196, 1248, 1472, 1794, 2208, 2392, 2496, 3588, 4416, 4784, 7176, 9568, 14352, 19136, 28704

Step-4: Factors of 57424

List of positive integer factors of 57424 that divides 57408 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57408 and 57424. The biggest common factor number is the GCF number.
So the greatest common factor 57408 and 57424 is 16.

Also check out the Least Common Multiple of 57408 and 57424