What is the Greatest Common Factor of 32730 and 32740?

Greatest common factor (GCF) of 32730 and 32740 is 10.

GCF(32730,32740) = 10

We will now calculate the prime factors of 32730 and 32740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32730 and 32740.

How to find the GCF of 32730 and 32740?

We will first find the prime factorization of 32730 and 32740. After we will calculate the factors of 32730 and 32740 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 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 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 32740

List of positive integer factors of 32740 that divides 32730 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 32730 and 32740. The biggest common factor number is the GCF number.
So the greatest common factor 32730 and 32740 is 10.

Also check out the Least Common Multiple of 32730 and 32740