What is the Greatest Common Factor of 18738 and 18753?

Greatest common factor (GCF) of 18738 and 18753 is 3.

GCF(18738,18753) = 3

We will now calculate the prime factors of 18738 and 18753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18738 and 18753.

How to find the GCF of 18738 and 18753?

We will first find the prime factorization of 18738 and 18753. After we will calculate the factors of 18738 and 18753 and find the biggest common factor number .

Step-1: Prime Factorization of 18738

Prime factors of 18738 are 2, 3, 347. Prime factorization of 18738 in exponential form is:

18738 = 2¹ × 3³ × 347¹

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 18738

List of positive integer factors of 18738 that divides 18738 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 347, 694, 1041, 2082, 3123, 6246, 9369

Step-4: Factors of 18753

List of positive integer factors of 18753 that divides 18738 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 18738 and 18753. The biggest common factor number is the GCF number.
So the greatest common factor 18738 and 18753 is 3.

Also check out the Least Common Multiple of 18738 and 18753