What is the Greatest Common Factor of 88044 and 88055?

Greatest common factor (GCF) of 88044 and 88055 is 11.

GCF(88044,88055) = 11

We will now calculate the prime factors of 88044 and 88055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88044 and 88055.

How to find the GCF of 88044 and 88055?

We will first find the prime factorization of 88044 and 88055. After we will calculate the factors of 88044 and 88055 and find the biggest common factor number .

Step-1: Prime Factorization of 88044

Prime factors of 88044 are 2, 3, 11, 23, 29. Prime factorization of 88044 in exponential form is:

88044 = 2² × 3¹ × 11¹ × 23¹ × 29¹

Step-2: Prime Factorization of 88055

Prime factors of 88055 are 5, 11, 1601. Prime factorization of 88055 in exponential form is:

88055 = 5¹ × 11¹ × 1601¹

Step-3: Factors of 88044

List of positive integer factors of 88044 that divides 88044 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 23, 29, 33, 44, 46, 58, 66, 69, 87, 92, 116, 132, 138, 174, 253, 276, 319, 348, 506, 638, 667, 759, 957, 1012, 1276, 1334, 1518, 1914, 2001, 2668, 3036, 3828, 4002, 7337, 8004, 14674, 22011, 29348, 44022

Step-4: Factors of 88055

List of positive integer factors of 88055 that divides 88044 without a remainder.

1, 5, 11, 55, 1601, 8005, 17611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88044 and 88055. The biggest common factor number is the GCF number.
So the greatest common factor 88044 and 88055 is 11.

Also check out the Least Common Multiple of 88044 and 88055