What is the Greatest Common Factor of 27506 and 27523?

Greatest common factor (GCF) of 27506 and 27523 is 17.

GCF(27506,27523) = 17

We will now calculate the prime factors of 27506 and 27523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27506 and 27523.

How to find the GCF of 27506 and 27523?

We will first find the prime factorization of 27506 and 27523. After we will calculate the factors of 27506 and 27523 and find the biggest common factor number .

Step-1: Prime Factorization of 27506

Prime factors of 27506 are 2, 17, 809. Prime factorization of 27506 in exponential form is:

27506 = 2¹ × 17¹ × 809¹

Step-2: Prime Factorization of 27523

Prime factors of 27523 are 17, 1619. Prime factorization of 27523 in exponential form is:

27523 = 17¹ × 1619¹

Step-3: Factors of 27506

List of positive integer factors of 27506 that divides 27506 without a remainder.

1, 2, 17, 34, 809, 1618, 13753

Step-4: Factors of 27523

List of positive integer factors of 27523 that divides 27506 without a remainder.

1, 17, 1619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27506 and 27523. The biggest common factor number is the GCF number.
So the greatest common factor 27506 and 27523 is 17.

Also check out the Least Common Multiple of 27506 and 27523