What is the Greatest Common Factor of 18753 and 18771?

Greatest common factor (GCF) of 18753 and 18771 is 3.

GCF(18753,18771) = 3

We will now calculate the prime factors of 18753 and 18771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18753 and 18771.

How to find the GCF of 18753 and 18771?

We will first find the prime factorization of 18753 and 18771. After we will calculate the factors of 18753 and 18771 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 18771

Prime factors of 18771 are 3, 6257. Prime factorization of 18771 in exponential form is:

18771 = 3¹ × 6257¹

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 18771

List of positive integer factors of 18771 that divides 18753 without a remainder.

1, 3, 6257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18753 and 18771. The biggest common factor number is the GCF number.
So the greatest common factor 18753 and 18771 is 3.

Also check out the Least Common Multiple of 18753 and 18771