What is the Greatest Common Factor of 19701 and 19713?

Greatest common factor (GCF) of 19701 and 19713 is 3.

GCF(19701,19713) = 3

We will now calculate the prime factors of 19701 and 19713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19701 and 19713.

How to find the GCF of 19701 and 19713?

We will first find the prime factorization of 19701 and 19713. After we will calculate the factors of 19701 and 19713 and find the biggest common factor number .

Step-1: Prime Factorization of 19701

Prime factors of 19701 are 3, 11, 199. Prime factorization of 19701 in exponential form is:

19701 = 3² × 11¹ × 199¹

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 19701

List of positive integer factors of 19701 that divides 19701 without a remainder.

1, 3, 9, 11, 33, 99, 199, 597, 1791, 2189, 6567

Step-4: Factors of 19713

List of positive integer factors of 19713 that divides 19701 without a remainder.

1, 3, 6571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19701 and 19713. The biggest common factor number is the GCF number.
So the greatest common factor 19701 and 19713 is 3.

Also check out the Least Common Multiple of 19701 and 19713