What is the Greatest Common Factor of 35724 and 35738?

Greatest common factor (GCF) of 35724 and 35738 is 2.

GCF(35724,35738) = 2

We will now calculate the prime factors of 35724 and 35738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35724 and 35738.

How to find the GCF of 35724 and 35738?

We will first find the prime factorization of 35724 and 35738. After we will calculate the factors of 35724 and 35738 and find the biggest common factor number .

Step-1: Prime Factorization of 35724

Prime factors of 35724 are 2, 3, 13, 229. Prime factorization of 35724 in exponential form is:

35724 = 2² × 3¹ × 13¹ × 229¹

Step-2: Prime Factorization of 35738

Prime factors of 35738 are 2, 107, 167. Prime factorization of 35738 in exponential form is:

35738 = 2¹ × 107¹ × 167¹

Step-3: Factors of 35724

List of positive integer factors of 35724 that divides 35724 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 229, 458, 687, 916, 1374, 2748, 2977, 5954, 8931, 11908, 17862

Step-4: Factors of 35738

List of positive integer factors of 35738 that divides 35724 without a remainder.

1, 2, 107, 167, 214, 334, 17869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35724 and 35738. The biggest common factor number is the GCF number.
So the greatest common factor 35724 and 35738 is 2.

Also check out the Least Common Multiple of 35724 and 35738