What is the Greatest Common Factor of 19088 and 19092?

Greatest common factor (GCF) of 19088 and 19092 is 4.

GCF(19088,19092) = 4

We will now calculate the prime factors of 19088 and 19092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19088 and 19092.

How to find the GCF of 19088 and 19092?

We will first find the prime factorization of 19088 and 19092. After we will calculate the factors of 19088 and 19092 and find the biggest common factor number .

Step-1: Prime Factorization of 19088

Prime factors of 19088 are 2, 1193. Prime factorization of 19088 in exponential form is:

19088 = 2⁴ × 1193¹

Step-2: Prime Factorization of 19092

Prime factors of 19092 are 2, 3, 37, 43. Prime factorization of 19092 in exponential form is:

19092 = 2² × 3¹ × 37¹ × 43¹

Step-3: Factors of 19088

List of positive integer factors of 19088 that divides 19088 without a remainder.

1, 2, 4, 8, 16, 1193, 2386, 4772, 9544

Step-4: Factors of 19092

List of positive integer factors of 19092 that divides 19088 without a remainder.

1, 2, 3, 4, 6, 12, 37, 43, 74, 86, 111, 129, 148, 172, 222, 258, 444, 516, 1591, 3182, 4773, 6364, 9546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19088 and 19092. The biggest common factor number is the GCF number.
So the greatest common factor 19088 and 19092 is 4.

Also check out the Least Common Multiple of 19088 and 19092