What is the Greatest Common Factor of 7295 and 7300?

Greatest common factor (GCF) of 7295 and 7300 is 5.

GCF(7295,7300) = 5

We will now calculate the prime factors of 7295 and 7300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7295 and 7300.

How to find the GCF of 7295 and 7300?

We will first find the prime factorization of 7295 and 7300. After we will calculate the factors of 7295 and 7300 and find the biggest common factor number .

Step-1: Prime Factorization of 7295

Prime factors of 7295 are 5, 1459. Prime factorization of 7295 in exponential form is:

7295 = 5¹ × 1459¹

Step-2: Prime Factorization of 7300

Prime factors of 7300 are 2, 5, 73. Prime factorization of 7300 in exponential form is:

7300 = 2² × 5² × 73¹

Step-3: Factors of 7295

List of positive integer factors of 7295 that divides 7295 without a remainder.

1, 5, 1459

Step-4: Factors of 7300

List of positive integer factors of 7300 that divides 7295 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7295 and 7300. The biggest common factor number is the GCF number.
So the greatest common factor 7295 and 7300 is 5.

Also check out the Least Common Multiple of 7295 and 7300