What is the Greatest Common Factor of 11830 and 11844?

Greatest common factor (GCF) of 11830 and 11844 is 14.

GCF(11830,11844) = 14

We will now calculate the prime factors of 11830 and 11844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11830 and 11844.

How to find the GCF of 11830 and 11844?

We will first find the prime factorization of 11830 and 11844. After we will calculate the factors of 11830 and 11844 and find the biggest common factor number .

Step-1: Prime Factorization of 11830

Prime factors of 11830 are 2, 5, 7, 13. Prime factorization of 11830 in exponential form is:

11830 = 2¹ × 5¹ × 7¹ × 13²

Step-2: Prime Factorization of 11844

Prime factors of 11844 are 2, 3, 7, 47. Prime factorization of 11844 in exponential form is:

11844 = 2² × 3² × 7¹ × 47¹

Step-3: Factors of 11830

List of positive integer factors of 11830 that divides 11830 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 169, 182, 338, 455, 845, 910, 1183, 1690, 2366, 5915

Step-4: Factors of 11844

List of positive integer factors of 11844 that divides 11830 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 47, 63, 84, 94, 126, 141, 188, 252, 282, 329, 423, 564, 658, 846, 987, 1316, 1692, 1974, 2961, 3948, 5922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11830 and 11844. The biggest common factor number is the GCF number.
So the greatest common factor 11830 and 11844 is 14.

Also check out the Least Common Multiple of 11830 and 11844