What is the Greatest Common Factor of 19708 and 19713?

Greatest common factor (GCF) of 19708 and 19713 is 1.

GCF(19708,19713) = 1

We will now calculate the prime factors of 19708 and 19713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19708 and 19713.

How to find the GCF of 19708 and 19713?

We will first find the prime factorization of 19708 and 19713. After we will calculate the factors of 19708 and 19713 and find the biggest common factor number .

Step-1: Prime Factorization of 19708

Prime factors of 19708 are 2, 13, 379. Prime factorization of 19708 in exponential form is:

19708 = 2² × 13¹ × 379¹

Step-2: Prime Factorization of 19713

Prime factors of 19713 are 3, 6571. Prime factorization of 19713 in exponential form is:

19713 = 3¹ × 6571¹

Step-3: Factors of 19708

List of positive integer factors of 19708 that divides 19708 without a remainder.

1, 2, 4, 13, 26, 52, 379, 758, 1516, 4927, 9854

Step-4: Factors of 19713

List of positive integer factors of 19713 that divides 19708 without a remainder.

1, 3, 6571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19708 and 19713. The biggest common factor number is the GCF number.
So the greatest common factor 19708 and 19713 is 1.

Also check out the Least Common Multiple of 19708 and 19713