What is the Greatest Common Factor of 19110 and 19124?

Greatest common factor (GCF) of 19110 and 19124 is 14.

GCF(19110,19124) = 14

We will now calculate the prime factors of 19110 and 19124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19110 and 19124.

How to find the GCF of 19110 and 19124?

We will first find the prime factorization of 19110 and 19124. After we will calculate the factors of 19110 and 19124 and find the biggest common factor number .

Step-1: Prime Factorization of 19110

Prime factors of 19110 are 2, 3, 5, 7, 13. Prime factorization of 19110 in exponential form is:

19110 = 2¹ × 3¹ × 5¹ × 7² × 13¹

Step-2: Prime Factorization of 19124

Prime factors of 19124 are 2, 7, 683. Prime factorization of 19124 in exponential form is:

19124 = 2² × 7¹ × 683¹

Step-3: Factors of 19110

List of positive integer factors of 19110 that divides 19110 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 49, 65, 70, 78, 91, 98, 105, 130, 147, 182, 195, 210, 245, 273, 294, 390, 455, 490, 546, 637, 735, 910, 1274, 1365, 1470, 1911, 2730, 3185, 3822, 6370, 9555

Step-4: Factors of 19124

List of positive integer factors of 19124 that divides 19110 without a remainder.

1, 2, 4, 7, 14, 28, 683, 1366, 2732, 4781, 9562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19110 and 19124. The biggest common factor number is the GCF number.
So the greatest common factor 19110 and 19124 is 14.

Also check out the Least Common Multiple of 19110 and 19124