What is the Greatest Common Factor of 19985 and 19997?

Greatest common factor (GCF) of 19985 and 19997 is 1.

GCF(19985,19997) = 1

We will now calculate the prime factors of 19985 and 19997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19985 and 19997.

How to find the GCF of 19985 and 19997?

We will first find the prime factorization of 19985 and 19997. After we will calculate the factors of 19985 and 19997 and find the biggest common factor number .

Step-1: Prime Factorization of 19985

Prime factors of 19985 are 5, 7, 571. Prime factorization of 19985 in exponential form is:

19985 = 5¹ × 7¹ × 571¹

Step-2: Prime Factorization of 19997

Prime factors of 19997 are 19997. Prime factorization of 19997 in exponential form is:

19997 = 19997¹

Step-3: Factors of 19985

List of positive integer factors of 19985 that divides 19985 without a remainder.

1, 5, 7, 35, 571, 2855, 3997

Step-4: Factors of 19997

List of positive integer factors of 19997 that divides 19985 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19985 and 19997. The biggest common factor number is the GCF number.
So the greatest common factor 19985 and 19997 is 1.

Also check out the Least Common Multiple of 19985 and 19997