What is the Greatest Common Factor of 10545 and 10564?

Greatest common factor (GCF) of 10545 and 10564 is 19.

GCF(10545,10564) = 19

We will now calculate the prime factors of 10545 and 10564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10545 and 10564.

How to find the GCF of 10545 and 10564?

We will first find the prime factorization of 10545 and 10564. After we will calculate the factors of 10545 and 10564 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 10564

Prime factors of 10564 are 2, 19, 139. Prime factorization of 10564 in exponential form is:

10564 = 2² × 19¹ × 139¹

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 10564

List of positive integer factors of 10564 that divides 10545 without a remainder.

1, 2, 4, 19, 38, 76, 139, 278, 556, 2641, 5282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10545 and 10564. The biggest common factor number is the GCF number.
So the greatest common factor 10545 and 10564 is 19.

Also check out the Least Common Multiple of 10545 and 10564