What is the Greatest Common Factor of 71565 and 71570?

Greatest common factor (GCF) of 71565 and 71570 is 5.

GCF(71565,71570) = 5

We will now calculate the prime factors of 71565 and 71570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71565 and 71570.

How to find the GCF of 71565 and 71570?

We will first find the prime factorization of 71565 and 71570. After we will calculate the factors of 71565 and 71570 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 71570

Prime factors of 71570 are 2, 5, 17, 421. Prime factorization of 71570 in exponential form is:

71570 = 2¹ × 5¹ × 17¹ × 421¹

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 71570

List of positive integer factors of 71570 that divides 71565 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 421, 842, 2105, 4210, 7157, 14314, 35785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71565 and 71570. The biggest common factor number is the GCF number.
So the greatest common factor 71565 and 71570 is 5.

Also check out the Least Common Multiple of 71565 and 71570