What is the Greatest Common Factor of 32720 and 32740?

Greatest common factor (GCF) of 32720 and 32740 is 20.

GCF(32720,32740) = 20

We will now calculate the prime factors of 32720 and 32740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32720 and 32740.

How to find the GCF of 32720 and 32740?

We will first find the prime factorization of 32720 and 32740. After we will calculate the factors of 32720 and 32740 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 32740

Prime factors of 32740 are 2, 5, 1637. Prime factorization of 32740 in exponential form is:

32740 = 2² × 5¹ × 1637¹

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 32740

List of positive integer factors of 32740 that divides 32720 without a remainder.

1, 2, 4, 5, 10, 20, 1637, 3274, 6548, 8185, 16370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32720 and 32740. The biggest common factor number is the GCF number.
So the greatest common factor 32720 and 32740 is 20.

Also check out the Least Common Multiple of 32720 and 32740