What is the Greatest Common Factor of 32740 and 32746?

Greatest common factor (GCF) of 32740 and 32746 is 2.

GCF(32740,32746) = 2

We will now calculate the prime factors of 32740 and 32746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32740 and 32746.

How to find the GCF of 32740 and 32746?

We will first find the prime factorization of 32740 and 32746. After we will calculate the factors of 32740 and 32746 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32746

Prime factors of 32746 are 2, 7, 2339. Prime factorization of 32746 in exponential form is:

32746 = 2¹ × 7¹ × 2339¹

Step-3: Factors of 32740

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

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

Step-4: Factors of 32746

List of positive integer factors of 32746 that divides 32740 without a remainder.

1, 2, 7, 14, 2339, 4678, 16373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32740 and 32746. The biggest common factor number is the GCF number.
So the greatest common factor 32740 and 32746 is 2.

Also check out the Least Common Multiple of 32740 and 32746