What is the Greatest Common Factor of 57344 and 57354?

Greatest common factor (GCF) of 57344 and 57354 is 2.

GCF(57344,57354) = 2

We will now calculate the prime factors of 57344 and 57354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57344 and 57354.

How to find the GCF of 57344 and 57354?

We will first find the prime factorization of 57344 and 57354. After we will calculate the factors of 57344 and 57354 and find the biggest common factor number .

Step-1: Prime Factorization of 57344

Prime factors of 57344 are 2, 7. Prime factorization of 57344 in exponential form is:

57344 = 2¹³ × 7¹

Step-2: Prime Factorization of 57354

Prime factors of 57354 are 2, 3, 11, 79. Prime factorization of 57354 in exponential form is:

57354 = 2¹ × 3¹ × 11² × 79¹

Step-3: Factors of 57344

List of positive integer factors of 57344 that divides 57344 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 2048, 3584, 4096, 7168, 8192, 14336, 28672

Step-4: Factors of 57354

List of positive integer factors of 57354 that divides 57344 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 79, 121, 158, 237, 242, 363, 474, 726, 869, 1738, 2607, 5214, 9559, 19118, 28677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57344 and 57354. The biggest common factor number is the GCF number.
So the greatest common factor 57344 and 57354 is 2.

Also check out the Least Common Multiple of 57344 and 57354