What is the Greatest Common Factor of 19967 and 19973?

Greatest common factor (GCF) of 19967 and 19973 is 1.

GCF(19967,19973) = 1

We will now calculate the prime factors of 19967 and 19973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19967 and 19973.

How to find the GCF of 19967 and 19973?

We will first find the prime factorization of 19967 and 19973. After we will calculate the factors of 19967 and 19973 and find the biggest common factor number .

Step-1: Prime Factorization of 19967

Prime factors of 19967 are 41, 487. Prime factorization of 19967 in exponential form is:

19967 = 41¹ × 487¹

Step-2: Prime Factorization of 19973

Prime factors of 19973 are 19973. Prime factorization of 19973 in exponential form is:

19973 = 19973¹

Step-3: Factors of 19967

List of positive integer factors of 19967 that divides 19967 without a remainder.

1, 41, 487

Step-4: Factors of 19973

List of positive integer factors of 19973 that divides 19967 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19967 and 19973. The biggest common factor number is the GCF number.
So the greatest common factor 19967 and 19973 is 1.

Also check out the Least Common Multiple of 19967 and 19973