What is the Greatest Common Factor of 19685 and 19701?

Greatest common factor (GCF) of 19685 and 19701 is 1.

GCF(19685,19701) = 1

We will now calculate the prime factors of 19685 and 19701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19685 and 19701.

How to find the GCF of 19685 and 19701?

We will first find the prime factorization of 19685 and 19701. After we will calculate the factors of 19685 and 19701 and find the biggest common factor number .

Step-1: Prime Factorization of 19685

Prime factors of 19685 are 5, 31, 127. Prime factorization of 19685 in exponential form is:

19685 = 5¹ × 31¹ × 127¹

Step-2: 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-3: Factors of 19685

List of positive integer factors of 19685 that divides 19685 without a remainder.

1, 5, 31, 127, 155, 635, 3937

Step-4: Factors of 19701

List of positive integer factors of 19701 that divides 19685 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19685 and 19701. The biggest common factor number is the GCF number.
So the greatest common factor 19685 and 19701 is 1.

Also check out the Least Common Multiple of 19685 and 19701