What is the Greatest Common Factor of 32720 and 32728?

Greatest common factor (GCF) of 32720 and 32728 is 8.

GCF(32720,32728) = 8

We will now calculate the prime factors of 32720 and 32728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32720 and 32728.

How to find the GCF of 32720 and 32728?

We will first find the prime factorization of 32720 and 32728. After we will calculate the factors of 32720 and 32728 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 32728

Prime factors of 32728 are 2, 4091. Prime factorization of 32728 in exponential form is:

32728 = 2³ × 4091¹

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 32728

List of positive integer factors of 32728 that divides 32720 without a remainder.

1, 2, 4, 8, 4091, 8182, 16364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32720 and 32728. The biggest common factor number is the GCF number.
So the greatest common factor 32720 and 32728 is 8.

Also check out the Least Common Multiple of 32720 and 32728