What is the Greatest Common Factor of 7319 and 7337?

Greatest common factor (GCF) of 7319 and 7337 is 1.

GCF(7319,7337) = 1

We will now calculate the prime factors of 7319 and 7337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7319 and 7337.

How to find the GCF of 7319 and 7337?

We will first find the prime factorization of 7319 and 7337. After we will calculate the factors of 7319 and 7337 and find the biggest common factor number .

Step-1: Prime Factorization of 7319

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

7319 = 13¹ × 563¹

Step-2: Prime Factorization of 7337

Prime factors of 7337 are 11, 23, 29. Prime factorization of 7337 in exponential form is:

7337 = 11¹ × 23¹ × 29¹

Step-3: Factors of 7319

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

1, 13, 563

Step-4: Factors of 7337

List of positive integer factors of 7337 that divides 7319 without a remainder.

1, 11, 23, 29, 253, 319, 667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7319 and 7337. The biggest common factor number is the GCF number.
So the greatest common factor 7319 and 7337 is 1.

Also check out the Least Common Multiple of 7319 and 7337