What is the Greatest Common Factor of 18734 and 18753?

Greatest common factor (GCF) of 18734 and 18753 is 19.

GCF(18734,18753) = 19

We will now calculate the prime factors of 18734 and 18753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18734 and 18753.

How to find the GCF of 18734 and 18753?

We will first find the prime factorization of 18734 and 18753. After we will calculate the factors of 18734 and 18753 and find the biggest common factor number .

Step-1: Prime Factorization of 18734

Prime factors of 18734 are 2, 17, 19, 29. Prime factorization of 18734 in exponential form is:

18734 = 2¹ × 17¹ × 19¹ × 29¹

Step-2: 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-3: Factors of 18734

List of positive integer factors of 18734 that divides 18734 without a remainder.

1, 2, 17, 19, 29, 34, 38, 58, 323, 493, 551, 646, 986, 1102, 9367

Step-4: Factors of 18753

List of positive integer factors of 18753 that divides 18734 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18734 and 18753. The biggest common factor number is the GCF number.
So the greatest common factor 18734 and 18753 is 19.

Also check out the Least Common Multiple of 18734 and 18753