What is the Greatest Common Factor of 57344 and 57351?

Greatest common factor (GCF) of 57344 and 57351 is 7.

GCF(57344,57351) = 7

We will now calculate the prime factors of 57344 and 57351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57344 and 57351.

How to find the GCF of 57344 and 57351?

We will first find the prime factorization of 57344 and 57351. After we will calculate the factors of 57344 and 57351 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 57351

Prime factors of 57351 are 3, 7, 2731. Prime factorization of 57351 in exponential form is:

57351 = 3¹ × 7¹ × 2731¹

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 57351

List of positive integer factors of 57351 that divides 57344 without a remainder.

1, 3, 7, 21, 2731, 8193, 19117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57344 and 57351. The biggest common factor number is the GCF number.
So the greatest common factor 57344 and 57351 is 7.

Also check out the Least Common Multiple of 57344 and 57351