What is the Greatest Common Factor of 19128 and 19142?

Greatest common factor (GCF) of 19128 and 19142 is 2.

GCF(19128,19142) = 2

We will now calculate the prime factors of 19128 and 19142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19128 and 19142.

How to find the GCF of 19128 and 19142?

We will first find the prime factorization of 19128 and 19142. After we will calculate the factors of 19128 and 19142 and find the biggest common factor number .

Step-1: Prime Factorization of 19128

Prime factors of 19128 are 2, 3, 797. Prime factorization of 19128 in exponential form is:

19128 = 2³ × 3¹ × 797¹

Step-2: Prime Factorization of 19142

Prime factors of 19142 are 2, 17, 563. Prime factorization of 19142 in exponential form is:

19142 = 2¹ × 17¹ × 563¹

Step-3: Factors of 19128

List of positive integer factors of 19128 that divides 19128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 797, 1594, 2391, 3188, 4782, 6376, 9564

Step-4: Factors of 19142

List of positive integer factors of 19142 that divides 19128 without a remainder.

1, 2, 17, 34, 563, 1126, 9571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19128 and 19142. The biggest common factor number is the GCF number.
So the greatest common factor 19128 and 19142 is 2.

Also check out the Least Common Multiple of 19128 and 19142