What is the Greatest Common Factor of 7265 and 7285?

Greatest common factor (GCF) of 7265 and 7285 is 5.

GCF(7265,7285) = 5

We will now calculate the prime factors of 7265 and 7285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7265 and 7285.

How to find the GCF of 7265 and 7285?

We will first find the prime factorization of 7265 and 7285. After we will calculate the factors of 7265 and 7285 and find the biggest common factor number .

Step-1: Prime Factorization of 7265

Prime factors of 7265 are 5, 1453. Prime factorization of 7265 in exponential form is:

7265 = 5¹ × 1453¹

Step-2: Prime Factorization of 7285

Prime factors of 7285 are 5, 31, 47. Prime factorization of 7285 in exponential form is:

7285 = 5¹ × 31¹ × 47¹

Step-3: Factors of 7265

List of positive integer factors of 7265 that divides 7265 without a remainder.

1, 5, 1453

Step-4: Factors of 7285

List of positive integer factors of 7285 that divides 7265 without a remainder.

1, 5, 31, 47, 155, 235, 1457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7265 and 7285. The biggest common factor number is the GCF number.
So the greatest common factor 7265 and 7285 is 5.

Also check out the Least Common Multiple of 7265 and 7285