What is the Greatest Common Factor of 18773 and 18792?

Greatest common factor (GCF) of 18773 and 18792 is 1.

GCF(18773,18792) = 1

We will now calculate the prime factors of 18773 and 18792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18773 and 18792.

How to find the GCF of 18773 and 18792?

We will first find the prime factorization of 18773 and 18792. After we will calculate the factors of 18773 and 18792 and find the biggest common factor number .

Step-1: Prime Factorization of 18773

Prime factors of 18773 are 18773. Prime factorization of 18773 in exponential form is:

18773 = 18773¹

Step-2: Prime Factorization of 18792

Prime factors of 18792 are 2, 3, 29. Prime factorization of 18792 in exponential form is:

18792 = 2³ × 3⁴ × 29¹

Step-3: Factors of 18773

List of positive integer factors of 18773 that divides 18773 without a remainder.

Step-4: Factors of 18792

List of positive integer factors of 18792 that divides 18773 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 81, 87, 108, 116, 162, 174, 216, 232, 261, 324, 348, 522, 648, 696, 783, 1044, 1566, 2088, 2349, 3132, 4698, 6264, 9396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18773 and 18792. The biggest common factor number is the GCF number.
So the greatest common factor 18773 and 18792 is 1.

Also check out the Least Common Multiple of 18773 and 18792