What is the Greatest Common Factor of 10538 and 10547?

Greatest common factor (GCF) of 10538 and 10547 is 1.

GCF(10538,10547) = 1

We will now calculate the prime factors of 10538 and 10547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10538 and 10547.

How to find the GCF of 10538 and 10547?

We will first find the prime factorization of 10538 and 10547. After we will calculate the factors of 10538 and 10547 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 10547

Prime factors of 10547 are 53, 199. Prime factorization of 10547 in exponential form is:

10547 = 53¹ × 199¹

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 10547

List of positive integer factors of 10547 that divides 10538 without a remainder.

1, 53, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10538 and 10547. The biggest common factor number is the GCF number.
So the greatest common factor 10538 and 10547 is 1.

Also check out the Least Common Multiple of 10538 and 10547