What is the Greatest Common Factor of 88875 and 88885?

Greatest common factor (GCF) of 88875 and 88885 is 5.

GCF(88875,88885) = 5

We will now calculate the prime factors of 88875 and 88885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88875 and 88885.

How to find the GCF of 88875 and 88885?

We will first find the prime factorization of 88875 and 88885. After we will calculate the factors of 88875 and 88885 and find the biggest common factor number .

Step-1: Prime Factorization of 88875

Prime factors of 88875 are 3, 5, 79. Prime factorization of 88875 in exponential form is:

88875 = 3² × 5³ × 79¹

Step-2: Prime Factorization of 88885

Prime factors of 88885 are 5, 29, 613. Prime factorization of 88885 in exponential form is:

88885 = 5¹ × 29¹ × 613¹

Step-3: Factors of 88875

List of positive integer factors of 88875 that divides 88875 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 79, 125, 225, 237, 375, 395, 711, 1125, 1185, 1975, 3555, 5925, 9875, 17775, 29625

Step-4: Factors of 88885

List of positive integer factors of 88885 that divides 88875 without a remainder.

1, 5, 29, 145, 613, 3065, 17777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88875 and 88885. The biggest common factor number is the GCF number.
So the greatest common factor 88875 and 88885 is 5.

Also check out the Least Common Multiple of 88875 and 88885