What is the Greatest Common Factor of 71560 and 71565?

Greatest common factor (GCF) of 71560 and 71565 is 5.

GCF(71560,71565) = 5

We will now calculate the prime factors of 71560 and 71565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71560 and 71565.

How to find the GCF of 71560 and 71565?

We will first find the prime factorization of 71560 and 71565. After we will calculate the factors of 71560 and 71565 and find the biggest common factor number .

Step-1: Prime Factorization of 71560

Prime factors of 71560 are 2, 5, 1789. Prime factorization of 71560 in exponential form is:

71560 = 2³ × 5¹ × 1789¹

Step-2: 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-3: Factors of 71560

List of positive integer factors of 71560 that divides 71560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1789, 3578, 7156, 8945, 14312, 17890, 35780

Step-4: Factors of 71565

List of positive integer factors of 71565 that divides 71560 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71560 and 71565. The biggest common factor number is the GCF number.
So the greatest common factor 71560 and 71565 is 5.

Also check out the Least Common Multiple of 71560 and 71565