What is the Greatest Common Factor of 18791 and 18797?

Greatest common factor (GCF) of 18791 and 18797 is 1.

GCF(18791,18797) = 1

We will now calculate the prime factors of 18791 and 18797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18791 and 18797.

How to find the GCF of 18791 and 18797?

We will first find the prime factorization of 18791 and 18797. After we will calculate the factors of 18791 and 18797 and find the biggest common factor number .

Step-1: Prime Factorization of 18791

Prime factors of 18791 are 19, 23, 43. Prime factorization of 18791 in exponential form is:

18791 = 19¹ × 23¹ × 43¹

Step-2: Prime Factorization of 18797

Prime factors of 18797 are 18797. Prime factorization of 18797 in exponential form is:

18797 = 18797¹

Step-3: Factors of 18791

List of positive integer factors of 18791 that divides 18791 without a remainder.

1, 19, 23, 43, 437, 817, 989

Step-4: Factors of 18797

List of positive integer factors of 18797 that divides 18791 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18791 and 18797. The biggest common factor number is the GCF number.
So the greatest common factor 18791 and 18797 is 1.

Also check out the Least Common Multiple of 18791 and 18797