What is the Greatest Common Factor of 19304 and 19310?

Greatest common factor (GCF) of 19304 and 19310 is 2.

GCF(19304,19310) = 2

We will now calculate the prime factors of 19304 and 19310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19304 and 19310.

How to find the GCF of 19304 and 19310?

We will first find the prime factorization of 19304 and 19310. After we will calculate the factors of 19304 and 19310 and find the biggest common factor number .

Step-1: Prime Factorization of 19304

Prime factors of 19304 are 2, 19, 127. Prime factorization of 19304 in exponential form is:

19304 = 2³ × 19¹ × 127¹

Step-2: Prime Factorization of 19310

Prime factors of 19310 are 2, 5, 1931. Prime factorization of 19310 in exponential form is:

19310 = 2¹ × 5¹ × 1931¹

Step-3: Factors of 19304

List of positive integer factors of 19304 that divides 19304 without a remainder.

1, 2, 4, 8, 19, 38, 76, 127, 152, 254, 508, 1016, 2413, 4826, 9652

Step-4: Factors of 19310

List of positive integer factors of 19310 that divides 19304 without a remainder.

1, 2, 5, 10, 1931, 3862, 9655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19304 and 19310. The biggest common factor number is the GCF number.
So the greatest common factor 19304 and 19310 is 2.

Also check out the Least Common Multiple of 19304 and 19310