What is the Greatest Common Factor of 88864 and 88876?

Greatest common factor (GCF) of 88864 and 88876 is 4.

GCF(88864,88876) = 4

We will now calculate the prime factors of 88864 and 88876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88864 and 88876.

How to find the GCF of 88864 and 88876?

We will first find the prime factorization of 88864 and 88876. After we will calculate the factors of 88864 and 88876 and find the biggest common factor number .

Step-1: Prime Factorization of 88864

Prime factors of 88864 are 2, 2777. Prime factorization of 88864 in exponential form is:

88864 = 2⁵ × 2777¹

Step-2: Prime Factorization of 88876

Prime factors of 88876 are 2, 17, 1307. Prime factorization of 88876 in exponential form is:

88876 = 2² × 17¹ × 1307¹

Step-3: Factors of 88864

List of positive integer factors of 88864 that divides 88864 without a remainder.

1, 2, 4, 8, 16, 32, 2777, 5554, 11108, 22216, 44432

Step-4: Factors of 88876

List of positive integer factors of 88876 that divides 88864 without a remainder.

1, 2, 4, 17, 34, 68, 1307, 2614, 5228, 22219, 44438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88864 and 88876. The biggest common factor number is the GCF number.
So the greatest common factor 88864 and 88876 is 4.

Also check out the Least Common Multiple of 88864 and 88876