What is the Greatest Common Factor of 7355 and 7370?

Greatest common factor (GCF) of 7355 and 7370 is 5.

GCF(7355,7370) = 5

We will now calculate the prime factors of 7355 and 7370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7355 and 7370.

How to find the GCF of 7355 and 7370?

We will first find the prime factorization of 7355 and 7370. After we will calculate the factors of 7355 and 7370 and find the biggest common factor number .

Step-1: Prime Factorization of 7355

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

7355 = 5¹ × 1471¹

Step-2: Prime Factorization of 7370

Prime factors of 7370 are 2, 5, 11, 67. Prime factorization of 7370 in exponential form is:

7370 = 2¹ × 5¹ × 11¹ × 67¹

Step-3: Factors of 7355

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

1, 5, 1471

Step-4: Factors of 7370

List of positive integer factors of 7370 that divides 7355 without a remainder.

1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7355 and 7370. The biggest common factor number is the GCF number.
So the greatest common factor 7355 and 7370 is 5.

Also check out the Least Common Multiple of 7355 and 7370