What is the Greatest Common Factor of 10538 and 10544?

Greatest common factor (GCF) of 10538 and 10544 is 2.

GCF(10538,10544) = 2

We will now calculate the prime factors of 10538 and 10544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10538 and 10544.

How to find the GCF of 10538 and 10544?

We will first find the prime factorization of 10538 and 10544. After we will calculate the factors of 10538 and 10544 and find the biggest common factor number .

Step-1: Prime Factorization of 10538

Prime factors of 10538 are 2, 11, 479. Prime factorization of 10538 in exponential form is:

10538 = 2¹ × 11¹ × 479¹

Step-2: Prime Factorization of 10544

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

10544 = 2⁴ × 659¹

Step-3: Factors of 10538

List of positive integer factors of 10538 that divides 10538 without a remainder.

1, 2, 11, 22, 479, 958, 5269

Step-4: Factors of 10544

List of positive integer factors of 10544 that divides 10538 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10538 and 10544. The biggest common factor number is the GCF number.
So the greatest common factor 10538 and 10544 is 2.

Also check out the Least Common Multiple of 10538 and 10544