What is the Greatest Common Factor of 88575 and 88580?

Greatest common factor (GCF) of 88575 and 88580 is 5.

GCF(88575,88580) = 5

We will now calculate the prime factors of 88575 and 88580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88575 and 88580.

How to find the GCF of 88575 and 88580?

We will first find the prime factorization of 88575 and 88580. After we will calculate the factors of 88575 and 88580 and find the biggest common factor number .

Step-1: Prime Factorization of 88575

Prime factors of 88575 are 3, 5, 1181. Prime factorization of 88575 in exponential form is:

88575 = 3¹ × 5² × 1181¹

Step-2: Prime Factorization of 88580

Prime factors of 88580 are 2, 5, 43, 103. Prime factorization of 88580 in exponential form is:

88580 = 2² × 5¹ × 43¹ × 103¹

Step-3: Factors of 88575

List of positive integer factors of 88575 that divides 88575 without a remainder.

1, 3, 5, 15, 25, 75, 1181, 3543, 5905, 17715, 29525

Step-4: Factors of 88580

List of positive integer factors of 88580 that divides 88575 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 103, 172, 206, 215, 412, 430, 515, 860, 1030, 2060, 4429, 8858, 17716, 22145, 44290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88575 and 88580. The biggest common factor number is the GCF number.
So the greatest common factor 88575 and 88580 is 5.

Also check out the Least Common Multiple of 88575 and 88580