What is the Greatest Common Factor of 7345 and 7355?

Greatest common factor (GCF) of 7345 and 7355 is 5.

GCF(7345,7355) = 5

We will now calculate the prime factors of 7345 and 7355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7345 and 7355.

How to find the GCF of 7345 and 7355?

We will first find the prime factorization of 7345 and 7355. After we will calculate the factors of 7345 and 7355 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 7355

Prime factors of 7355 are 5, 1471. Prime factorization of 7355 in exponential form is:

7355 = 5¹ × 1471¹

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 7355

List of positive integer factors of 7355 that divides 7345 without a remainder.

1, 5, 1471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7345 and 7355. The biggest common factor number is the GCF number.
So the greatest common factor 7345 and 7355 is 5.

Also check out the Least Common Multiple of 7345 and 7355