What is the Greatest Common Factor of 18746 and 18763?

Greatest common factor (GCF) of 18746 and 18763 is 1.

GCF(18746,18763) = 1

We will now calculate the prime factors of 18746 and 18763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18746 and 18763.

How to find the GCF of 18746 and 18763?

We will first find the prime factorization of 18746 and 18763. After we will calculate the factors of 18746 and 18763 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18763

Prime factors of 18763 are 29, 647. Prime factorization of 18763 in exponential form is:

18763 = 29¹ × 647¹

Step-3: Factors of 18746

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

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

Step-4: Factors of 18763

List of positive integer factors of 18763 that divides 18746 without a remainder.

1, 29, 647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18746 and 18763. The biggest common factor number is the GCF number.
So the greatest common factor 18746 and 18763 is 1.

Also check out the Least Common Multiple of 18746 and 18763