What is the Greatest Common Factor of 32730 and 32735?

Greatest common factor (GCF) of 32730 and 32735 is 5.

GCF(32730,32735) = 5

We will now calculate the prime factors of 32730 and 32735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32730 and 32735.

How to find the GCF of 32730 and 32735?

We will first find the prime factorization of 32730 and 32735. After we will calculate the factors of 32730 and 32735 and find the biggest common factor number .

Step-1: Prime Factorization of 32730

Prime factors of 32730 are 2, 3, 5, 1091. Prime factorization of 32730 in exponential form is:

32730 = 2¹ × 3¹ × 5¹ × 1091¹

Step-2: Prime Factorization of 32735

Prime factors of 32735 are 5, 6547. Prime factorization of 32735 in exponential form is:

32735 = 5¹ × 6547¹

Step-3: Factors of 32730

List of positive integer factors of 32730 that divides 32730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1091, 2182, 3273, 5455, 6546, 10910, 16365

Step-4: Factors of 32735

List of positive integer factors of 32735 that divides 32730 without a remainder.

1, 5, 6547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32730 and 32735. The biggest common factor number is the GCF number.
So the greatest common factor 32730 and 32735 is 5.

Also check out the Least Common Multiple of 32730 and 32735