What is the Greatest Common Factor of 32507 and 32525?

Greatest common factor (GCF) of 32507 and 32525 is 1.

GCF(32507,32525) = 1

We will now calculate the prime factors of 32507 and 32525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32507 and 32525.

How to find the GCF of 32507 and 32525?

We will first find the prime factorization of 32507 and 32525. After we will calculate the factors of 32507 and 32525 and find the biggest common factor number .

Step-1: Prime Factorization of 32507

Prime factors of 32507 are 32507. Prime factorization of 32507 in exponential form is:

32507 = 32507¹

Step-2: Prime Factorization of 32525

Prime factors of 32525 are 5, 1301. Prime factorization of 32525 in exponential form is:

32525 = 5² × 1301¹

Step-3: Factors of 32507

List of positive integer factors of 32507 that divides 32507 without a remainder.

Step-4: Factors of 32525

List of positive integer factors of 32525 that divides 32507 without a remainder.

1, 5, 25, 1301, 6505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32507 and 32525. The biggest common factor number is the GCF number.
So the greatest common factor 32507 and 32525 is 1.

Also check out the Least Common Multiple of 32507 and 32525