What is the Greatest Common Factor of 88595 and 88600?

Greatest common factor (GCF) of 88595 and 88600 is 5.

GCF(88595,88600) = 5

We will now calculate the prime factors of 88595 and 88600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88595 and 88600.

How to find the GCF of 88595 and 88600?

We will first find the prime factorization of 88595 and 88600. After we will calculate the factors of 88595 and 88600 and find the biggest common factor number .

Step-1: Prime Factorization of 88595

Prime factors of 88595 are 5, 13, 29, 47. Prime factorization of 88595 in exponential form is:

88595 = 5¹ × 13¹ × 29¹ × 47¹

Step-2: Prime Factorization of 88600

Prime factors of 88600 are 2, 5, 443. Prime factorization of 88600 in exponential form is:

88600 = 2³ × 5² × 443¹

Step-3: Factors of 88595

List of positive integer factors of 88595 that divides 88595 without a remainder.

1, 5, 13, 29, 47, 65, 145, 235, 377, 611, 1363, 1885, 3055, 6815, 17719

Step-4: Factors of 88600

List of positive integer factors of 88600 that divides 88595 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 443, 886, 1772, 2215, 3544, 4430, 8860, 11075, 17720, 22150, 44300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88595 and 88600. The biggest common factor number is the GCF number.
So the greatest common factor 88595 and 88600 is 5.

Also check out the Least Common Multiple of 88595 and 88600