What is the Greatest Common Factor of 88008 and 88027?

Greatest common factor (GCF) of 88008 and 88027 is 19.

GCF(88008,88027) = 19

We will now calculate the prime factors of 88008 and 88027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88008 and 88027.

How to find the GCF of 88008 and 88027?

We will first find the prime factorization of 88008 and 88027. After we will calculate the factors of 88008 and 88027 and find the biggest common factor number .

Step-1: Prime Factorization of 88008

Prime factors of 88008 are 2, 3, 19, 193. Prime factorization of 88008 in exponential form is:

88008 = 2³ × 3¹ × 19¹ × 193¹

Step-2: Prime Factorization of 88027

Prime factors of 88027 are 19, 41, 113. Prime factorization of 88027 in exponential form is:

88027 = 19¹ × 41¹ × 113¹

Step-3: Factors of 88008

List of positive integer factors of 88008 that divides 88008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 193, 228, 386, 456, 579, 772, 1158, 1544, 2316, 3667, 4632, 7334, 11001, 14668, 22002, 29336, 44004

Step-4: Factors of 88027

List of positive integer factors of 88027 that divides 88008 without a remainder.

1, 19, 41, 113, 779, 2147, 4633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88008 and 88027. The biggest common factor number is the GCF number.
So the greatest common factor 88008 and 88027 is 19.

Also check out the Least Common Multiple of 88008 and 88027