What is the Greatest Common Factor of 10563 and 10567?

Greatest common factor (GCF) of 10563 and 10567 is 1.

GCF(10563,10567) = 1

We will now calculate the prime factors of 10563 and 10567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10563 and 10567.

How to find the GCF of 10563 and 10567?

We will first find the prime factorization of 10563 and 10567. After we will calculate the factors of 10563 and 10567 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 10567

Prime factors of 10567 are 10567. Prime factorization of 10567 in exponential form is:

10567 = 10567¹

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 10567

List of positive integer factors of 10567 that divides 10563 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10563 and 10567. The biggest common factor number is the GCF number.
So the greatest common factor 10563 and 10567 is 1.

Also check out the Least Common Multiple of 10563 and 10567