What is the Greatest Common Factor of 32549 and 32565?

Greatest common factor (GCF) of 32549 and 32565 is 1.

GCF(32549,32565) = 1

We will now calculate the prime factors of 32549 and 32565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32549 and 32565.

How to find the GCF of 32549 and 32565?

We will first find the prime factorization of 32549 and 32565. After we will calculate the factors of 32549 and 32565 and find the biggest common factor number .

Step-1: Prime Factorization of 32549

Prime factors of 32549 are 11, 269. Prime factorization of 32549 in exponential form is:

32549 = 11² × 269¹

Step-2: Prime Factorization of 32565

Prime factors of 32565 are 3, 5, 13, 167. Prime factorization of 32565 in exponential form is:

32565 = 3¹ × 5¹ × 13¹ × 167¹

Step-3: Factors of 32549

List of positive integer factors of 32549 that divides 32549 without a remainder.

1, 11, 121, 269, 2959

Step-4: Factors of 32565

List of positive integer factors of 32565 that divides 32549 without a remainder.

1, 3, 5, 13, 15, 39, 65, 167, 195, 501, 835, 2171, 2505, 6513, 10855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32549 and 32565. The biggest common factor number is the GCF number.
So the greatest common factor 32549 and 32565 is 1.

Also check out the Least Common Multiple of 32549 and 32565