What is the Greatest Common Factor of 33527 and 33539?

Greatest common factor (GCF) of 33527 and 33539 is 1.

GCF(33527,33539) = 1

We will now calculate the prime factors of 33527 and 33539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33527 and 33539.

How to find the GCF of 33527 and 33539?

We will first find the prime factorization of 33527 and 33539. After we will calculate the factors of 33527 and 33539 and find the biggest common factor number .

Step-1: Prime Factorization of 33527

Prime factors of 33527 are 13, 2579. Prime factorization of 33527 in exponential form is:

33527 = 13¹ × 2579¹

Step-2: Prime Factorization of 33539

Prime factors of 33539 are 11, 3049. Prime factorization of 33539 in exponential form is:

33539 = 11¹ × 3049¹

Step-3: Factors of 33527

List of positive integer factors of 33527 that divides 33527 without a remainder.

1, 13, 2579

Step-4: Factors of 33539

List of positive integer factors of 33539 that divides 33527 without a remainder.

1, 11, 3049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33527 and 33539. The biggest common factor number is the GCF number.
So the greatest common factor 33527 and 33539 is 1.

Also check out the Least Common Multiple of 33527 and 33539