What is the Greatest Common Factor of 18849 and 18858?

Greatest common factor (GCF) of 18849 and 18858 is 3.

GCF(18849,18858) = 3

We will now calculate the prime factors of 18849 and 18858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18849 and 18858.

How to find the GCF of 18849 and 18858?

We will first find the prime factorization of 18849 and 18858. After we will calculate the factors of 18849 and 18858 and find the biggest common factor number .

Step-1: Prime Factorization of 18849

Prime factors of 18849 are 3, 61, 103. Prime factorization of 18849 in exponential form is:

18849 = 3¹ × 61¹ × 103¹

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 18849

List of positive integer factors of 18849 that divides 18849 without a remainder.

1, 3, 61, 103, 183, 309, 6283

Step-4: Factors of 18858

List of positive integer factors of 18858 that divides 18849 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 18849 and 18858. The biggest common factor number is the GCF number.
So the greatest common factor 18849 and 18858 is 3.

Also check out the Least Common Multiple of 18849 and 18858