What is the Greatest Common Factor of 18830 and 18849?

Greatest common factor (GCF) of 18830 and 18849 is 1.

GCF(18830,18849) = 1

We will now calculate the prime factors of 18830 and 18849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18830 and 18849.

How to find the GCF of 18830 and 18849?

We will first find the prime factorization of 18830 and 18849. After we will calculate the factors of 18830 and 18849 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 18849

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

18849 = 3¹ × 61¹ × 103¹

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 18849

List of positive integer factors of 18849 that divides 18830 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18830 and 18849. The biggest common factor number is the GCF number.
So the greatest common factor 18830 and 18849 is 1.

Also check out the Least Common Multiple of 18830 and 18849