What is the Greatest Common Factor of 18733 and 18746?

Greatest common factor (GCF) of 18733 and 18746 is 13.

GCF(18733,18746) = 13

We will now calculate the prime factors of 18733 and 18746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18733 and 18746.

How to find the GCF of 18733 and 18746?

We will first find the prime factorization of 18733 and 18746. After we will calculate the factors of 18733 and 18746 and find the biggest common factor number .

Step-1: Prime Factorization of 18733

Prime factors of 18733 are 11, 13, 131. Prime factorization of 18733 in exponential form is:

18733 = 11¹ × 13¹ × 131¹

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 18733

List of positive integer factors of 18733 that divides 18733 without a remainder.

1, 11, 13, 131, 143, 1441, 1703

Step-4: Factors of 18746

List of positive integer factors of 18746 that divides 18733 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 18733 and 18746. The biggest common factor number is the GCF number.
So the greatest common factor 18733 and 18746 is 13.

Also check out the Least Common Multiple of 18733 and 18746