What is the Greatest Common Factor of 7301 and 7315?

Greatest common factor (GCF) of 7301 and 7315 is 7.

GCF(7301,7315) = 7

We will now calculate the prime factors of 7301 and 7315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7301 and 7315.

How to find the GCF of 7301 and 7315?

We will first find the prime factorization of 7301 and 7315. After we will calculate the factors of 7301 and 7315 and find the biggest common factor number .

Step-1: Prime Factorization of 7301

Prime factors of 7301 are 7, 149. Prime factorization of 7301 in exponential form is:

7301 = 7² × 149¹

Step-2: Prime Factorization of 7315

Prime factors of 7315 are 5, 7, 11, 19. Prime factorization of 7315 in exponential form is:

7315 = 5¹ × 7¹ × 11¹ × 19¹

Step-3: Factors of 7301

List of positive integer factors of 7301 that divides 7301 without a remainder.

1, 7, 49, 149, 1043

Step-4: Factors of 7315

List of positive integer factors of 7315 that divides 7301 without a remainder.

1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7301 and 7315. The biggest common factor number is the GCF number.
So the greatest common factor 7301 and 7315 is 7.

Also check out the Least Common Multiple of 7301 and 7315