What is the Greatest Common Factor of 7345 and 7360?

Greatest common factor (GCF) of 7345 and 7360 is 5.

GCF(7345,7360) = 5

We will now calculate the prime factors of 7345 and 7360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7345 and 7360.

How to find the GCF of 7345 and 7360?

We will first find the prime factorization of 7345 and 7360. After we will calculate the factors of 7345 and 7360 and find the biggest common factor number .

Step-1: Prime Factorization of 7345

Prime factors of 7345 are 5, 13, 113. Prime factorization of 7345 in exponential form is:

7345 = 5¹ × 13¹ × 113¹

Step-2: Prime Factorization of 7360

Prime factors of 7360 are 2, 5, 23. Prime factorization of 7360 in exponential form is:

7360 = 2⁶ × 5¹ × 23¹

Step-3: Factors of 7345

List of positive integer factors of 7345 that divides 7345 without a remainder.

1, 5, 13, 65, 113, 565, 1469

Step-4: Factors of 7360

List of positive integer factors of 7360 that divides 7345 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7345 and 7360. The biggest common factor number is the GCF number.
So the greatest common factor 7345 and 7360 is 5.

Also check out the Least Common Multiple of 7345 and 7360