What is the Greatest Common Factor of 18872 and 18886?

Greatest common factor (GCF) of 18872 and 18886 is 14.

GCF(18872,18886) = 14

We will now calculate the prime factors of 18872 and 18886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18872 and 18886.

How to find the GCF of 18872 and 18886?

We will first find the prime factorization of 18872 and 18886. After we will calculate the factors of 18872 and 18886 and find the biggest common factor number .

Step-1: Prime Factorization of 18872

Prime factors of 18872 are 2, 7, 337. Prime factorization of 18872 in exponential form is:

18872 = 2³ × 7¹ × 337¹

Step-2: 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-3: Factors of 18872

List of positive integer factors of 18872 that divides 18872 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 337, 674, 1348, 2359, 2696, 4718, 9436

Step-4: Factors of 18886

List of positive integer factors of 18886 that divides 18872 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18872 and 18886. The biggest common factor number is the GCF number.
So the greatest common factor 18872 and 18886 is 14.

Also check out the Least Common Multiple of 18872 and 18886