What is the Greatest Common Factor of 17726 and 17740?

Greatest common factor (GCF) of 17726 and 17740 is 2.

GCF(17726,17740) = 2

We will now calculate the prime factors of 17726 and 17740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17726 and 17740.

How to find the GCF of 17726 and 17740?

We will first find the prime factorization of 17726 and 17740. After we will calculate the factors of 17726 and 17740 and find the biggest common factor number .

Step-1: Prime Factorization of 17726

Prime factors of 17726 are 2, 8863. Prime factorization of 17726 in exponential form is:

17726 = 2¹ × 8863¹

Step-2: Prime Factorization of 17740

Prime factors of 17740 are 2, 5, 887. Prime factorization of 17740 in exponential form is:

17740 = 2² × 5¹ × 887¹

Step-3: Factors of 17726

List of positive integer factors of 17726 that divides 17726 without a remainder.

1, 2, 8863

Step-4: Factors of 17740

List of positive integer factors of 17740 that divides 17726 without a remainder.

1, 2, 4, 5, 10, 20, 887, 1774, 3548, 4435, 8870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17726 and 17740. The biggest common factor number is the GCF number.
So the greatest common factor 17726 and 17740 is 2.

Also check out the Least Common Multiple of 17726 and 17740