What is the Greatest Common Factor of 39724 and 39738?

Greatest common factor (GCF) of 39724 and 39738 is 2.

GCF(39724,39738) = 2

We will now calculate the prime factors of 39724 and 39738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39724 and 39738.

How to find the GCF of 39724 and 39738?

We will first find the prime factorization of 39724 and 39738. After we will calculate the factors of 39724 and 39738 and find the biggest common factor number .

Step-1: Prime Factorization of 39724

Prime factors of 39724 are 2, 9931. Prime factorization of 39724 in exponential form is:

39724 = 2² × 9931¹

Step-2: Prime Factorization of 39738

Prime factors of 39738 are 2, 3, 37, 179. Prime factorization of 39738 in exponential form is:

39738 = 2¹ × 3¹ × 37¹ × 179¹

Step-3: Factors of 39724

List of positive integer factors of 39724 that divides 39724 without a remainder.

1, 2, 4, 9931, 19862

Step-4: Factors of 39738

List of positive integer factors of 39738 that divides 39724 without a remainder.

1, 2, 3, 6, 37, 74, 111, 179, 222, 358, 537, 1074, 6623, 13246, 19869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39724 and 39738. The biggest common factor number is the GCF number.
So the greatest common factor 39724 and 39738 is 2.

Also check out the Least Common Multiple of 39724 and 39738