What is the Greatest Common Factor of 10527 and 10538?

Greatest common factor (GCF) of 10527 and 10538 is 11.

GCF(10527,10538) = 11

We will now calculate the prime factors of 10527 and 10538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10527 and 10538.

How to find the GCF of 10527 and 10538?

We will first find the prime factorization of 10527 and 10538. After we will calculate the factors of 10527 and 10538 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 10538

Prime factors of 10538 are 2, 11, 479. Prime factorization of 10538 in exponential form is:

10538 = 2¹ × 11¹ × 479¹

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 10538

List of positive integer factors of 10538 that divides 10527 without a remainder.

1, 2, 11, 22, 479, 958, 5269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10527 and 10538. The biggest common factor number is the GCF number.
So the greatest common factor 10527 and 10538 is 11.

Also check out the Least Common Multiple of 10527 and 10538