What is the Greatest Common Factor of 7575 and 7585?

Greatest common factor (GCF) of 7575 and 7585 is 5.

GCF(7575,7585) = 5

We will now calculate the prime factors of 7575 and 7585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7575 and 7585.

How to find the GCF of 7575 and 7585?

We will first find the prime factorization of 7575 and 7585. After we will calculate the factors of 7575 and 7585 and find the biggest common factor number .

Step-1: Prime Factorization of 7575

Prime factors of 7575 are 3, 5, 101. Prime factorization of 7575 in exponential form is:

7575 = 3¹ × 5² × 101¹

Step-2: Prime Factorization of 7585

Prime factors of 7585 are 5, 37, 41. Prime factorization of 7585 in exponential form is:

7585 = 5¹ × 37¹ × 41¹

Step-3: Factors of 7575

List of positive integer factors of 7575 that divides 7575 without a remainder.

1, 3, 5, 15, 25, 75, 101, 303, 505, 1515, 2525

Step-4: Factors of 7585

List of positive integer factors of 7585 that divides 7575 without a remainder.

1, 5, 37, 41, 185, 205, 1517

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7575 and 7585. The biggest common factor number is the GCF number.
So the greatest common factor 7575 and 7585 is 5.

Also check out the Least Common Multiple of 7575 and 7585