What is the Greatest Common Factor of 32529 and 32534?

Greatest common factor (GCF) of 32529 and 32534 is 1.

GCF(32529,32534) = 1

We will now calculate the prime factors of 32529 and 32534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32529 and 32534.

How to find the GCF of 32529 and 32534?

We will first find the prime factorization of 32529 and 32534. After we will calculate the factors of 32529 and 32534 and find the biggest common factor number .

Step-1: Prime Factorization of 32529

Prime factors of 32529 are 3, 7, 1549. Prime factorization of 32529 in exponential form is:

32529 = 3¹ × 7¹ × 1549¹

Step-2: Prime Factorization of 32534

Prime factors of 32534 are 2, 16267. Prime factorization of 32534 in exponential form is:

32534 = 2¹ × 16267¹

Step-3: Factors of 32529

List of positive integer factors of 32529 that divides 32529 without a remainder.

1, 3, 7, 21, 1549, 4647, 10843

Step-4: Factors of 32534

List of positive integer factors of 32534 that divides 32529 without a remainder.

1, 2, 16267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32529 and 32534. The biggest common factor number is the GCF number.
So the greatest common factor 32529 and 32534 is 1.

Also check out the Least Common Multiple of 32529 and 32534