What is the Greatest Common Factor of 17720 and 17726?

Greatest common factor (GCF) of 17720 and 17726 is 2.

GCF(17720,17726) = 2

We will now calculate the prime factors of 17720 and 17726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17720 and 17726.

How to find the GCF of 17720 and 17726?

We will first find the prime factorization of 17720 and 17726. After we will calculate the factors of 17720 and 17726 and find the biggest common factor number .

Step-1: Prime Factorization of 17720

Prime factors of 17720 are 2, 5, 443. Prime factorization of 17720 in exponential form is:

17720 = 2³ × 5¹ × 443¹

Step-2: Prime Factorization of 17726

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

17726 = 2¹ × 8863¹

Step-3: Factors of 17720

List of positive integer factors of 17720 that divides 17720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 443, 886, 1772, 2215, 3544, 4430, 8860

Step-4: Factors of 17726

List of positive integer factors of 17726 that divides 17720 without a remainder.

1, 2, 8863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17720 and 17726. The biggest common factor number is the GCF number.
So the greatest common factor 17720 and 17726 is 2.

Also check out the Least Common Multiple of 17720 and 17726