What is the Greatest Common Factor of 30544 and 30563?

Greatest common factor (GCF) of 30544 and 30563 is 1.

GCF(30544,30563) = 1

We will now calculate the prime factors of 30544 and 30563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30544 and 30563.

How to find the GCF of 30544 and 30563?

We will first find the prime factorization of 30544 and 30563. After we will calculate the factors of 30544 and 30563 and find the biggest common factor number .

Step-1: Prime Factorization of 30544

Prime factors of 30544 are 2, 23, 83. Prime factorization of 30544 in exponential form is:

30544 = 2⁴ × 23¹ × 83¹

Step-2: Prime Factorization of 30563

Prime factors of 30563 are 13, 2351. Prime factorization of 30563 in exponential form is:

30563 = 13¹ × 2351¹

Step-3: Factors of 30544

List of positive integer factors of 30544 that divides 30544 without a remainder.

1, 2, 4, 8, 16, 23, 46, 83, 92, 166, 184, 332, 368, 664, 1328, 1909, 3818, 7636, 15272

Step-4: Factors of 30563

List of positive integer factors of 30563 that divides 30544 without a remainder.

1, 13, 2351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30544 and 30563. The biggest common factor number is the GCF number.
So the greatest common factor 30544 and 30563 is 1.

Also check out the Least Common Multiple of 30544 and 30563