What is the Greatest Common Factor of 32720 and 32735?

Greatest common factor (GCF) of 32720 and 32735 is 5.

GCF(32720,32735) = 5

We will now calculate the prime factors of 32720 and 32735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32720 and 32735.

How to find the GCF of 32720 and 32735?

We will first find the prime factorization of 32720 and 32735. After we will calculate the factors of 32720 and 32735 and find the biggest common factor number .

Step-1: Prime Factorization of 32720

Prime factors of 32720 are 2, 5, 409. Prime factorization of 32720 in exponential form is:

32720 = 2⁴ × 5¹ × 409¹

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 32720

List of positive integer factors of 32720 that divides 32720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 409, 818, 1636, 2045, 3272, 4090, 6544, 8180, 16360

Step-4: Factors of 32735

List of positive integer factors of 32735 that divides 32720 without a remainder.

1, 5, 6547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32720 and 32735. The biggest common factor number is the GCF number.
So the greatest common factor 32720 and 32735 is 5.

Also check out the Least Common Multiple of 32720 and 32735