What is the Greatest Common Factor of 88605 and 88616?

Greatest common factor (GCF) of 88605 and 88616 is 11.

GCF(88605,88616) = 11

We will now calculate the prime factors of 88605 and 88616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88605 and 88616.

How to find the GCF of 88605 and 88616?

We will first find the prime factorization of 88605 and 88616. After we will calculate the factors of 88605 and 88616 and find the biggest common factor number .

Step-1: Prime Factorization of 88605

Prime factors of 88605 are 3, 5, 11, 179. Prime factorization of 88605 in exponential form is:

88605 = 3² × 5¹ × 11¹ × 179¹

Step-2: Prime Factorization of 88616

Prime factors of 88616 are 2, 11, 19, 53. Prime factorization of 88616 in exponential form is:

88616 = 2³ × 11¹ × 19¹ × 53¹

Step-3: Factors of 88605

List of positive integer factors of 88605 that divides 88605 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 179, 495, 537, 895, 1611, 1969, 2685, 5907, 8055, 9845, 17721, 29535

Step-4: Factors of 88616

List of positive integer factors of 88616 that divides 88605 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 53, 76, 88, 106, 152, 209, 212, 418, 424, 583, 836, 1007, 1166, 1672, 2014, 2332, 4028, 4664, 8056, 11077, 22154, 44308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88605 and 88616. The biggest common factor number is the GCF number.
So the greatest common factor 88605 and 88616 is 11.

Also check out the Least Common Multiple of 88605 and 88616