What is the Greatest Common Factor of 88839 and 88854?

Greatest common factor (GCF) of 88839 and 88854 is 3.

GCF(88839,88854) = 3

We will now calculate the prime factors of 88839 and 88854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88839 and 88854.

How to find the GCF of 88839 and 88854?

We will first find the prime factorization of 88839 and 88854. After we will calculate the factors of 88839 and 88854 and find the biggest common factor number .

Step-1: Prime Factorization of 88839

Prime factors of 88839 are 3, 9871. Prime factorization of 88839 in exponential form is:

88839 = 3² × 9871¹

Step-2: 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-3: Factors of 88839

List of positive integer factors of 88839 that divides 88839 without a remainder.

1, 3, 9, 9871, 29613

Step-4: Factors of 88854

List of positive integer factors of 88854 that divides 88839 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88839 and 88854. The biggest common factor number is the GCF number.
So the greatest common factor 88839 and 88854 is 3.

Also check out the Least Common Multiple of 88839 and 88854