What is the Greatest Common Factor of 13830 and 13837?

Greatest common factor (GCF) of 13830 and 13837 is 1.

GCF(13830,13837) = 1

We will now calculate the prime factors of 13830 and 13837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13830 and 13837.

How to find the GCF of 13830 and 13837?

We will first find the prime factorization of 13830 and 13837. After we will calculate the factors of 13830 and 13837 and find the biggest common factor number .

Step-1: Prime Factorization of 13830

Prime factors of 13830 are 2, 3, 5, 461. Prime factorization of 13830 in exponential form is:

13830 = 2¹ × 3¹ × 5¹ × 461¹

Step-2: Prime Factorization of 13837

Prime factors of 13837 are 101, 137. Prime factorization of 13837 in exponential form is:

13837 = 101¹ × 137¹

Step-3: Factors of 13830

List of positive integer factors of 13830 that divides 13830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 461, 922, 1383, 2305, 2766, 4610, 6915

Step-4: Factors of 13837

List of positive integer factors of 13837 that divides 13830 without a remainder.

1, 101, 137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13830 and 13837. The biggest common factor number is the GCF number.
So the greatest common factor 13830 and 13837 is 1.

Also check out the Least Common Multiple of 13830 and 13837