What is the Greatest Common Factor of 71565 and 71575?

Greatest common factor (GCF) of 71565 and 71575 is 5.

GCF(71565,71575) = 5

We will now calculate the prime factors of 71565 and 71575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71565 and 71575.

How to find the GCF of 71565 and 71575?

We will first find the prime factorization of 71565 and 71575. After we will calculate the factors of 71565 and 71575 and find the biggest common factor number .

Step-1: Prime Factorization of 71565

Prime factors of 71565 are 3, 5, 13, 367. Prime factorization of 71565 in exponential form is:

71565 = 3¹ × 5¹ × 13¹ × 367¹

Step-2: Prime Factorization of 71575

Prime factors of 71575 are 5, 7, 409. Prime factorization of 71575 in exponential form is:

71575 = 5² × 7¹ × 409¹

Step-3: Factors of 71565

List of positive integer factors of 71565 that divides 71565 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 367, 1101, 1835, 4771, 5505, 14313, 23855

Step-4: Factors of 71575

List of positive integer factors of 71575 that divides 71565 without a remainder.

1, 5, 7, 25, 35, 175, 409, 2045, 2863, 10225, 14315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71565 and 71575. The biggest common factor number is the GCF number.
So the greatest common factor 71565 and 71575 is 5.

Also check out the Least Common Multiple of 71565 and 71575