What is the Greatest Common Factor of 10544 and 10564?

Greatest common factor (GCF) of 10544 and 10564 is 4.

GCF(10544,10564) = 4

We will now calculate the prime factors of 10544 and 10564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10544 and 10564.

How to find the GCF of 10544 and 10564?

We will first find the prime factorization of 10544 and 10564. After we will calculate the factors of 10544 and 10564 and find the biggest common factor number .

Step-1: Prime Factorization of 10544

Prime factors of 10544 are 2, 659. Prime factorization of 10544 in exponential form is:

10544 = 2⁴ × 659¹

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 10544

List of positive integer factors of 10544 that divides 10544 without a remainder.

1, 2, 4, 8, 16, 659, 1318, 2636, 5272

Step-4: Factors of 10564

List of positive integer factors of 10564 that divides 10544 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 10544 and 10564. The biggest common factor number is the GCF number.
So the greatest common factor 10544 and 10564 is 4.

Also check out the Least Common Multiple of 10544 and 10564