What is the Greatest Common Factor of 88854 and 88864?

Greatest common factor (GCF) of 88854 and 88864 is 2.

GCF(88854,88864) = 2

We will now calculate the prime factors of 88854 and 88864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88854 and 88864.

How to find the GCF of 88854 and 88864?

We will first find the prime factorization of 88854 and 88864. After we will calculate the factors of 88854 and 88864 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88864

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

88864 = 2⁵ × 2777¹

Step-3: Factors of 88854

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

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

Step-4: Factors of 88864

List of positive integer factors of 88864 that divides 88854 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88854 and 88864. The biggest common factor number is the GCF number.
So the greatest common factor 88854 and 88864 is 2.

Also check out the Least Common Multiple of 88854 and 88864