What is the Greatest Common Factor of 7312 and 7319?

Greatest common factor (GCF) of 7312 and 7319 is 1.

GCF(7312,7319) = 1

We will now calculate the prime factors of 7312 and 7319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7312 and 7319.

How to find the GCF of 7312 and 7319?

We will first find the prime factorization of 7312 and 7319. After we will calculate the factors of 7312 and 7319 and find the biggest common factor number .

Step-1: Prime Factorization of 7312

Prime factors of 7312 are 2, 457. Prime factorization of 7312 in exponential form is:

7312 = 2⁴ × 457¹

Step-2: Prime Factorization of 7319

Prime factors of 7319 are 13, 563. Prime factorization of 7319 in exponential form is:

7319 = 13¹ × 563¹

Step-3: Factors of 7312

List of positive integer factors of 7312 that divides 7312 without a remainder.

1, 2, 4, 8, 16, 457, 914, 1828, 3656

Step-4: Factors of 7319

List of positive integer factors of 7319 that divides 7312 without a remainder.

1, 13, 563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7312 and 7319. The biggest common factor number is the GCF number.
So the greatest common factor 7312 and 7319 is 1.

Also check out the Least Common Multiple of 7312 and 7319