What is the Greatest Common Factor of 88864 and 88870?

Greatest common factor (GCF) of 88864 and 88870 is 2.

GCF(88864,88870) = 2

We will now calculate the prime factors of 88864 and 88870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88864 and 88870.

How to find the GCF of 88864 and 88870?

We will first find the prime factorization of 88864 and 88870. After we will calculate the factors of 88864 and 88870 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 88870

Prime factors of 88870 are 2, 5, 8887. Prime factorization of 88870 in exponential form is:

88870 = 2¹ × 5¹ × 8887¹

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 88870

List of positive integer factors of 88870 that divides 88864 without a remainder.

1, 2, 5, 10, 8887, 17774, 44435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88864 and 88870. The biggest common factor number is the GCF number.
So the greatest common factor 88864 and 88870 is 2.

Also check out the Least Common Multiple of 88864 and 88870