What is the Greatest Common Factor of 57344 and 57362?

Greatest common factor (GCF) of 57344 and 57362 is 2.

GCF(57344,57362) = 2

We will now calculate the prime factors of 57344 and 57362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57344 and 57362.

How to find the GCF of 57344 and 57362?

We will first find the prime factorization of 57344 and 57362. After we will calculate the factors of 57344 and 57362 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 57362

Prime factors of 57362 are 2, 23, 29, 43. Prime factorization of 57362 in exponential form is:

57362 = 2¹ × 23¹ × 29¹ × 43¹

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 57362

List of positive integer factors of 57362 that divides 57344 without a remainder.

1, 2, 23, 29, 43, 46, 58, 86, 667, 989, 1247, 1334, 1978, 2494, 28681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57344 and 57362. The biggest common factor number is the GCF number.
So the greatest common factor 57344 and 57362 is 2.

Also check out the Least Common Multiple of 57344 and 57362