What is the Greatest Common Factor of 88899 and 88905?

Greatest common factor (GCF) of 88899 and 88905 is 3.

GCF(88899,88905) = 3

We will now calculate the prime factors of 88899 and 88905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88899 and 88905.

How to find the GCF of 88899 and 88905?

We will first find the prime factorization of 88899 and 88905. After we will calculate the factors of 88899 and 88905 and find the biggest common factor number .

Step-1: Prime Factorization of 88899

Prime factors of 88899 are 3, 29633. Prime factorization of 88899 in exponential form is:

88899 = 3¹ × 29633¹

Step-2: Prime Factorization of 88905

Prime factors of 88905 are 3, 5, 5927. Prime factorization of 88905 in exponential form is:

88905 = 3¹ × 5¹ × 5927¹

Step-3: Factors of 88899

List of positive integer factors of 88899 that divides 88899 without a remainder.

1, 3, 29633

Step-4: Factors of 88905

List of positive integer factors of 88905 that divides 88899 without a remainder.

1, 3, 5, 15, 5927, 17781, 29635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88899 and 88905. The biggest common factor number is the GCF number.
So the greatest common factor 88899 and 88905 is 3.

Also check out the Least Common Multiple of 88899 and 88905