What is the Greatest Common Factor of 10545 and 10563?

Greatest common factor (GCF) of 10545 and 10563 is 3.

GCF(10545,10563) = 3

We will now calculate the prime factors of 10545 and 10563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10545 and 10563.

How to find the GCF of 10545 and 10563?

We will first find the prime factorization of 10545 and 10563. After we will calculate the factors of 10545 and 10563 and find the biggest common factor number .

Step-1: Prime Factorization of 10545

Prime factors of 10545 are 3, 5, 19, 37. Prime factorization of 10545 in exponential form is:

10545 = 3¹ × 5¹ × 19¹ × 37¹

Step-2: 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-3: Factors of 10545

List of positive integer factors of 10545 that divides 10545 without a remainder.

1, 3, 5, 15, 19, 37, 57, 95, 111, 185, 285, 555, 703, 2109, 3515

Step-4: Factors of 10563

List of positive integer factors of 10563 that divides 10545 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10545 and 10563. The biggest common factor number is the GCF number.
So the greatest common factor 10545 and 10563 is 3.

Also check out the Least Common Multiple of 10545 and 10563