What is the Greatest Common Factor of 18830 and 18842?

Greatest common factor (GCF) of 18830 and 18842 is 2.

GCF(18830,18842) = 2

We will now calculate the prime factors of 18830 and 18842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18830 and 18842.

How to find the GCF of 18830 and 18842?

We will first find the prime factorization of 18830 and 18842. After we will calculate the factors of 18830 and 18842 and find the biggest common factor number .

Step-1: Prime Factorization of 18830

Prime factors of 18830 are 2, 5, 7, 269. Prime factorization of 18830 in exponential form is:

18830 = 2¹ × 5¹ × 7¹ × 269¹

Step-2: Prime Factorization of 18842

Prime factors of 18842 are 2, 9421. Prime factorization of 18842 in exponential form is:

18842 = 2¹ × 9421¹

Step-3: Factors of 18830

List of positive integer factors of 18830 that divides 18830 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 269, 538, 1345, 1883, 2690, 3766, 9415

Step-4: Factors of 18842

List of positive integer factors of 18842 that divides 18830 without a remainder.

1, 2, 9421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18830 and 18842. The biggest common factor number is the GCF number.
So the greatest common factor 18830 and 18842 is 2.

Also check out the Least Common Multiple of 18830 and 18842