What is the Greatest Common Factor of 10523 and 10543?

Greatest common factor (GCF) of 10523 and 10543 is 1.

GCF(10523,10543) = 1

We will now calculate the prime factors of 10523 and 10543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10523 and 10543.

How to find the GCF of 10523 and 10543?

We will first find the prime factorization of 10523 and 10543. After we will calculate the factors of 10523 and 10543 and find the biggest common factor number .

Step-1: Prime Factorization of 10523

Prime factors of 10523 are 17, 619. Prime factorization of 10523 in exponential form is:

10523 = 17¹ × 619¹

Step-2: Prime Factorization of 10543

Prime factors of 10543 are 13, 811. Prime factorization of 10543 in exponential form is:

10543 = 13¹ × 811¹

Step-3: Factors of 10523

List of positive integer factors of 10523 that divides 10523 without a remainder.

1, 17, 619

Step-4: Factors of 10543

List of positive integer factors of 10543 that divides 10523 without a remainder.

1, 13, 811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10523 and 10543. The biggest common factor number is the GCF number.
So the greatest common factor 10523 and 10543 is 1.

Also check out the Least Common Multiple of 10523 and 10543