What is the Greatest Common Factor of 18738 and 18746?

Greatest common factor (GCF) of 18738 and 18746 is 2.

GCF(18738,18746) = 2

We will now calculate the prime factors of 18738 and 18746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18738 and 18746.

How to find the GCF of 18738 and 18746?

We will first find the prime factorization of 18738 and 18746. After we will calculate the factors of 18738 and 18746 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 18746

Prime factors of 18746 are 2, 7, 13, 103. Prime factorization of 18746 in exponential form is:

18746 = 2¹ × 7¹ × 13¹ × 103¹

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 18746

List of positive integer factors of 18746 that divides 18738 without a remainder.

1, 2, 7, 13, 14, 26, 91, 103, 182, 206, 721, 1339, 1442, 2678, 9373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18738 and 18746. The biggest common factor number is the GCF number.
So the greatest common factor 18738 and 18746 is 2.

Also check out the Least Common Multiple of 18738 and 18746