What is the Greatest Common Factor of 10527 and 10539?

Greatest common factor (GCF) of 10527 and 10539 is 3.

GCF(10527,10539) = 3

We will now calculate the prime factors of 10527 and 10539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10527 and 10539.

How to find the GCF of 10527 and 10539?

We will first find the prime factorization of 10527 and 10539. After we will calculate the factors of 10527 and 10539 and find the biggest common factor number .

Step-1: Prime Factorization of 10527

Prime factors of 10527 are 3, 11, 29. Prime factorization of 10527 in exponential form is:

10527 = 3¹ × 11² × 29¹

Step-2: Prime Factorization of 10539

Prime factors of 10539 are 3, 1171. Prime factorization of 10539 in exponential form is:

10539 = 3² × 1171¹

Step-3: Factors of 10527

List of positive integer factors of 10527 that divides 10527 without a remainder.

1, 3, 11, 29, 33, 87, 121, 319, 363, 957, 3509

Step-4: Factors of 10539

List of positive integer factors of 10539 that divides 10527 without a remainder.

1, 3, 9, 1171, 3513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10527 and 10539. The biggest common factor number is the GCF number.
So the greatest common factor 10527 and 10539 is 3.

Also check out the Least Common Multiple of 10527 and 10539