What is the Greatest Common Factor of 18886 and 18905?

Greatest common factor (GCF) of 18886 and 18905 is 19.

GCF(18886,18905) = 19

We will now calculate the prime factors of 18886 and 18905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18886 and 18905.

How to find the GCF of 18886 and 18905?

We will first find the prime factorization of 18886 and 18905. After we will calculate the factors of 18886 and 18905 and find the biggest common factor number .

Step-1: Prime Factorization of 18886

Prime factors of 18886 are 2, 7, 19, 71. Prime factorization of 18886 in exponential form is:

18886 = 2¹ × 7¹ × 19¹ × 71¹

Step-2: Prime Factorization of 18905

Prime factors of 18905 are 5, 19, 199. Prime factorization of 18905 in exponential form is:

18905 = 5¹ × 19¹ × 199¹

Step-3: Factors of 18886

List of positive integer factors of 18886 that divides 18886 without a remainder.

1, 2, 7, 14, 19, 38, 71, 133, 142, 266, 497, 994, 1349, 2698, 9443

Step-4: Factors of 18905

List of positive integer factors of 18905 that divides 18886 without a remainder.

1, 5, 19, 95, 199, 995, 3781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18886 and 18905. The biggest common factor number is the GCF number.
So the greatest common factor 18886 and 18905 is 19.

Also check out the Least Common Multiple of 18886 and 18905