What is the Greatest Common Factor of 19312 and 19318?

Greatest common factor (GCF) of 19312 and 19318 is 2.

GCF(19312,19318) = 2

We will now calculate the prime factors of 19312 and 19318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19312 and 19318.

How to find the GCF of 19312 and 19318?

We will first find the prime factorization of 19312 and 19318. After we will calculate the factors of 19312 and 19318 and find the biggest common factor number .

Step-1: Prime Factorization of 19312

Prime factors of 19312 are 2, 17, 71. Prime factorization of 19312 in exponential form is:

19312 = 2⁴ × 17¹ × 71¹

Step-2: Prime Factorization of 19318

Prime factors of 19318 are 2, 13, 743. Prime factorization of 19318 in exponential form is:

19318 = 2¹ × 13¹ × 743¹

Step-3: Factors of 19312

List of positive integer factors of 19312 that divides 19312 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 71, 136, 142, 272, 284, 568, 1136, 1207, 2414, 4828, 9656

Step-4: Factors of 19318

List of positive integer factors of 19318 that divides 19312 without a remainder.

1, 2, 13, 26, 743, 1486, 9659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19312 and 19318. The biggest common factor number is the GCF number.
So the greatest common factor 19312 and 19318 is 2.

Also check out the Least Common Multiple of 19312 and 19318