What is the Greatest Common Factor of 88876 and 88896?

Greatest common factor (GCF) of 88876 and 88896 is 4.

GCF(88876,88896) = 4

We will now calculate the prime factors of 88876 and 88896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88876 and 88896.

How to find the GCF of 88876 and 88896?

We will first find the prime factorization of 88876 and 88896. After we will calculate the factors of 88876 and 88896 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88896

Prime factors of 88896 are 2, 3, 463. Prime factorization of 88896 in exponential form is:

88896 = 2⁶ × 3¹ × 463¹

Step-3: Factors of 88876

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

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

Step-4: Factors of 88896

List of positive integer factors of 88896 that divides 88876 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 463, 926, 1389, 1852, 2778, 3704, 5556, 7408, 11112, 14816, 22224, 29632, 44448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88876 and 88896. The biggest common factor number is the GCF number.
So the greatest common factor 88876 and 88896 is 4.

Also check out the Least Common Multiple of 88876 and 88896