What is the Greatest Common Factor of 19312 and 19316?

Greatest common factor (GCF) of 19312 and 19316 is 4.

GCF(19312,19316) = 4

We will now calculate the prime factors of 19312 and 19316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19312 and 19316.

How to find the GCF of 19312 and 19316?

We will first find the prime factorization of 19312 and 19316. After we will calculate the factors of 19312 and 19316 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 19316

Prime factors of 19316 are 2, 11, 439. Prime factorization of 19316 in exponential form is:

19316 = 2² × 11¹ × 439¹

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 19316

List of positive integer factors of 19316 that divides 19312 without a remainder.

1, 2, 4, 11, 22, 44, 439, 878, 1756, 4829, 9658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19312 and 19316. The biggest common factor number is the GCF number.
So the greatest common factor 19312 and 19316 is 4.

Also check out the Least Common Multiple of 19312 and 19316