What is the Greatest Common Factor of 10563 and 10575?

Greatest common factor (GCF) of 10563 and 10575 is 3.

GCF(10563,10575) = 3

We will now calculate the prime factors of 10563 and 10575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10563 and 10575.

How to find the GCF of 10563 and 10575?

We will first find the prime factorization of 10563 and 10575. After we will calculate the factors of 10563 and 10575 and find the biggest common factor number .

Step-1: Prime Factorization of 10563

Prime factors of 10563 are 3, 7, 503. Prime factorization of 10563 in exponential form is:

10563 = 3¹ × 7¹ × 503¹

Step-2: Prime Factorization of 10575

Prime factors of 10575 are 3, 5, 47. Prime factorization of 10575 in exponential form is:

10575 = 3² × 5² × 47¹

Step-3: Factors of 10563

List of positive integer factors of 10563 that divides 10563 without a remainder.

1, 3, 7, 21, 503, 1509, 3521

Step-4: Factors of 10575

List of positive integer factors of 10575 that divides 10563 without a remainder.

1, 3, 5, 9, 15, 25, 45, 47, 75, 141, 225, 235, 423, 705, 1175, 2115, 3525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10563 and 10575. The biggest common factor number is the GCF number.
So the greatest common factor 10563 and 10575 is 3.

Also check out the Least Common Multiple of 10563 and 10575