What is the Greatest Common Factor of 32529 and 32543?

Greatest common factor (GCF) of 32529 and 32543 is 7.

GCF(32529,32543) = 7

We will now calculate the prime factors of 32529 and 32543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32529 and 32543.

How to find the GCF of 32529 and 32543?

We will first find the prime factorization of 32529 and 32543. After we will calculate the factors of 32529 and 32543 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 32543

Prime factors of 32543 are 7, 4649. Prime factorization of 32543 in exponential form is:

32543 = 7¹ × 4649¹

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 32543

List of positive integer factors of 32543 that divides 32529 without a remainder.

1, 7, 4649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32529 and 32543. The biggest common factor number is the GCF number.
So the greatest common factor 32529 and 32543 is 7.

Also check out the Least Common Multiple of 32529 and 32543