What is the Greatest Common Factor of 38560 and 38573?

Greatest common factor (GCF) of 38560 and 38573 is 1.

GCF(38560,38573) = 1

We will now calculate the prime factors of 38560 and 38573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38560 and 38573.

How to find the GCF of 38560 and 38573?

We will first find the prime factorization of 38560 and 38573. After we will calculate the factors of 38560 and 38573 and find the biggest common factor number .

Step-1: Prime Factorization of 38560

Prime factors of 38560 are 2, 5, 241. Prime factorization of 38560 in exponential form is:

38560 = 2⁵ × 5¹ × 241¹

Step-2: Prime Factorization of 38573

Prime factors of 38573 are 17, 2269. Prime factorization of 38573 in exponential form is:

38573 = 17¹ × 2269¹

Step-3: Factors of 38560

List of positive integer factors of 38560 that divides 38560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 241, 482, 964, 1205, 1928, 2410, 3856, 4820, 7712, 9640, 19280

Step-4: Factors of 38573

List of positive integer factors of 38573 that divides 38560 without a remainder.

1, 17, 2269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38560 and 38573. The biggest common factor number is the GCF number.
So the greatest common factor 38560 and 38573 is 1.

Also check out the Least Common Multiple of 38560 and 38573