What is the Greatest Common Factor of 19726 and 19742?

Greatest common factor (GCF) of 19726 and 19742 is 2.

GCF(19726,19742) = 2

We will now calculate the prime factors of 19726 and 19742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19726 and 19742.

How to find the GCF of 19726 and 19742?

We will first find the prime factorization of 19726 and 19742. After we will calculate the factors of 19726 and 19742 and find the biggest common factor number .

Step-1: Prime Factorization of 19726

Prime factors of 19726 are 2, 7, 1409. Prime factorization of 19726 in exponential form is:

19726 = 2¹ × 7¹ × 1409¹

Step-2: Prime Factorization of 19742

Prime factors of 19742 are 2, 9871. Prime factorization of 19742 in exponential form is:

19742 = 2¹ × 9871¹

Step-3: Factors of 19726

List of positive integer factors of 19726 that divides 19726 without a remainder.

1, 2, 7, 14, 1409, 2818, 9863

Step-4: Factors of 19742

List of positive integer factors of 19742 that divides 19726 without a remainder.

1, 2, 9871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19726 and 19742. The biggest common factor number is the GCF number.
So the greatest common factor 19726 and 19742 is 2.

Also check out the Least Common Multiple of 19726 and 19742