What is the Greatest Common Factor of 88864 and 88880?

Greatest common factor (GCF) of 88864 and 88880 is 16.

GCF(88864,88880) = 16

We will now calculate the prime factors of 88864 and 88880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88864 and 88880.

How to find the GCF of 88864 and 88880?

We will first find the prime factorization of 88864 and 88880. After we will calculate the factors of 88864 and 88880 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 88880

Prime factors of 88880 are 2, 5, 11, 101. Prime factorization of 88880 in exponential form is:

88880 = 2⁴ × 5¹ × 11¹ × 101¹

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 88880

List of positive integer factors of 88880 that divides 88864 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 101, 110, 176, 202, 220, 404, 440, 505, 808, 880, 1010, 1111, 1616, 2020, 2222, 4040, 4444, 5555, 8080, 8888, 11110, 17776, 22220, 44440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88864 and 88880. The biggest common factor number is the GCF number.
So the greatest common factor 88864 and 88880 is 16.

Also check out the Least Common Multiple of 88864 and 88880