What is the Greatest Common Factor of 20523 and 20543?

Greatest common factor (GCF) of 20523 and 20543 is 1.

GCF(20523,20543) = 1

We will now calculate the prime factors of 20523 and 20543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20523 and 20543.

How to find the GCF of 20523 and 20543?

We will first find the prime factorization of 20523 and 20543. After we will calculate the factors of 20523 and 20543 and find the biggest common factor number .

Step-1: Prime Factorization of 20523

Prime factors of 20523 are 3, 6841. Prime factorization of 20523 in exponential form is:

20523 = 3¹ × 6841¹

Step-2: Prime Factorization of 20543

Prime factors of 20543 are 20543. Prime factorization of 20543 in exponential form is:

20543 = 20543¹

Step-3: Factors of 20523

List of positive integer factors of 20523 that divides 20523 without a remainder.

1, 3, 6841

Step-4: Factors of 20543

List of positive integer factors of 20543 that divides 20523 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20523 and 20543. The biggest common factor number is the GCF number.
So the greatest common factor 20523 and 20543 is 1.

Also check out the Least Common Multiple of 20523 and 20543