What is the Greatest Common Factor of 88854 and 88869?

Greatest common factor (GCF) of 88854 and 88869 is 3.

GCF(88854,88869) = 3

We will now calculate the prime factors of 88854 and 88869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88854 and 88869.

How to find the GCF of 88854 and 88869?

We will first find the prime factorization of 88854 and 88869. After we will calculate the factors of 88854 and 88869 and find the biggest common factor number .

Step-1: Prime Factorization of 88854

Prime factors of 88854 are 2, 3, 59, 251. Prime factorization of 88854 in exponential form is:

88854 = 2¹ × 3¹ × 59¹ × 251¹

Step-2: Prime Factorization of 88869

Prime factors of 88869 are 3, 11, 2693. Prime factorization of 88869 in exponential form is:

88869 = 3¹ × 11¹ × 2693¹

Step-3: Factors of 88854

List of positive integer factors of 88854 that divides 88854 without a remainder.

1, 2, 3, 6, 59, 118, 177, 251, 354, 502, 753, 1506, 14809, 29618, 44427

Step-4: Factors of 88869

List of positive integer factors of 88869 that divides 88854 without a remainder.

1, 3, 11, 33, 2693, 8079, 29623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88854 and 88869. The biggest common factor number is the GCF number.
So the greatest common factor 88854 and 88869 is 3.

Also check out the Least Common Multiple of 88854 and 88869