What is the Greatest Common Factor of 32724 and 32738?

Greatest common factor (GCF) of 32724 and 32738 is 2.

GCF(32724,32738) = 2

We will now calculate the prime factors of 32724 and 32738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32724 and 32738.

How to find the GCF of 32724 and 32738?

We will first find the prime factorization of 32724 and 32738. After we will calculate the factors of 32724 and 32738 and find the biggest common factor number .

Step-1: Prime Factorization of 32724

Prime factors of 32724 are 2, 3, 101. Prime factorization of 32724 in exponential form is:

32724 = 2² × 3⁴ × 101¹

Step-2: Prime Factorization of 32738

Prime factors of 32738 are 2, 16369. Prime factorization of 32738 in exponential form is:

32738 = 2¹ × 16369¹

Step-3: Factors of 32724

List of positive integer factors of 32724 that divides 32724 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 101, 108, 162, 202, 303, 324, 404, 606, 909, 1212, 1818, 2727, 3636, 5454, 8181, 10908, 16362

Step-4: Factors of 32738

List of positive integer factors of 32738 that divides 32724 without a remainder.

1, 2, 16369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32724 and 32738. The biggest common factor number is the GCF number.
So the greatest common factor 32724 and 32738 is 2.

Also check out the Least Common Multiple of 32724 and 32738