What is the Greatest Common Factor of 18838 and 18858?

Greatest common factor (GCF) of 18838 and 18858 is 2.

GCF(18838,18858) = 2

We will now calculate the prime factors of 18838 and 18858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18838 and 18858.

How to find the GCF of 18838 and 18858?

We will first find the prime factorization of 18838 and 18858. After we will calculate the factors of 18838 and 18858 and find the biggest common factor number .

Step-1: Prime Factorization of 18838

Prime factors of 18838 are 2, 9419. Prime factorization of 18838 in exponential form is:

18838 = 2¹ × 9419¹

Step-2: Prime Factorization of 18858

Prime factors of 18858 are 2, 3, 7, 449. Prime factorization of 18858 in exponential form is:

18858 = 2¹ × 3¹ × 7¹ × 449¹

Step-3: Factors of 18838

List of positive integer factors of 18838 that divides 18838 without a remainder.

1, 2, 9419

Step-4: Factors of 18858

List of positive integer factors of 18858 that divides 18838 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 449, 898, 1347, 2694, 3143, 6286, 9429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18838 and 18858. The biggest common factor number is the GCF number.
So the greatest common factor 18838 and 18858 is 2.

Also check out the Least Common Multiple of 18838 and 18858