What is the Greatest Common Factor of 32526 and 32539?

Greatest common factor (GCF) of 32526 and 32539 is 13.

GCF(32526,32539) = 13

We will now calculate the prime factors of 32526 and 32539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32526 and 32539.

How to find the GCF of 32526 and 32539?

We will first find the prime factorization of 32526 and 32539. After we will calculate the factors of 32526 and 32539 and find the biggest common factor number .

Step-1: Prime Factorization of 32526

Prime factors of 32526 are 2, 3, 13, 139. Prime factorization of 32526 in exponential form is:

32526 = 2¹ × 3² × 13¹ × 139¹

Step-2: Prime Factorization of 32539

Prime factors of 32539 are 13, 2503. Prime factorization of 32539 in exponential form is:

32539 = 13¹ × 2503¹

Step-3: Factors of 32526

List of positive integer factors of 32526 that divides 32526 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 139, 234, 278, 417, 834, 1251, 1807, 2502, 3614, 5421, 10842, 16263

Step-4: Factors of 32539

List of positive integer factors of 32539 that divides 32526 without a remainder.

1, 13, 2503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32526 and 32539. The biggest common factor number is the GCF number.
So the greatest common factor 32526 and 32539 is 13.

Also check out the Least Common Multiple of 32526 and 32539