What is the Greatest Common Factor of 18753 and 18773?

Greatest common factor (GCF) of 18753 and 18773 is 1.

GCF(18753,18773) = 1

We will now calculate the prime factors of 18753 and 18773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18753 and 18773.

How to find the GCF of 18753 and 18773?

We will first find the prime factorization of 18753 and 18773. After we will calculate the factors of 18753 and 18773 and find the biggest common factor number .

Step-1: Prime Factorization of 18753

Prime factors of 18753 are 3, 7, 19, 47. Prime factorization of 18753 in exponential form is:

18753 = 3¹ × 7¹ × 19¹ × 47¹

Step-2: Prime Factorization of 18773

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

18773 = 18773¹

Step-3: Factors of 18753

List of positive integer factors of 18753 that divides 18753 without a remainder.

1, 3, 7, 19, 21, 47, 57, 133, 141, 329, 399, 893, 987, 2679, 6251

Step-4: Factors of 18773

List of positive integer factors of 18773 that divides 18753 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18753 and 18773. The biggest common factor number is the GCF number.
So the greatest common factor 18753 and 18773 is 1.

Also check out the Least Common Multiple of 18753 and 18773