What is the Greatest Common Factor of 88875 and 88893?

Greatest common factor (GCF) of 88875 and 88893 is 9.

GCF(88875,88893) = 9

We will now calculate the prime factors of 88875 and 88893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88875 and 88893.

How to find the GCF of 88875 and 88893?

We will first find the prime factorization of 88875 and 88893. After we will calculate the factors of 88875 and 88893 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 88893

Prime factors of 88893 are 3, 7, 17, 83. Prime factorization of 88893 in exponential form is:

88893 = 3² × 7¹ × 17¹ × 83¹

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 88893

List of positive integer factors of 88893 that divides 88875 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 83, 119, 153, 249, 357, 581, 747, 1071, 1411, 1743, 4233, 5229, 9877, 12699, 29631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88875 and 88893. The biggest common factor number is the GCF number.
So the greatest common factor 88875 and 88893 is 9.

Also check out the Least Common Multiple of 88875 and 88893