What is the Greatest Common Factor of 88638 and 88647?

Greatest common factor (GCF) of 88638 and 88647 is 3.

GCF(88638,88647) = 3

We will now calculate the prime factors of 88638 and 88647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88638 and 88647.

How to find the GCF of 88638 and 88647?

We will first find the prime factorization of 88638 and 88647. After we will calculate the factors of 88638 and 88647 and find the biggest common factor number .

Step-1: Prime Factorization of 88638

Prime factors of 88638 are 2, 3, 11, 17, 79. Prime factorization of 88638 in exponential form is:

88638 = 2¹ × 3¹ × 11¹ × 17¹ × 79¹

Step-2: Prime Factorization of 88647

Prime factors of 88647 are 3, 13, 2273. Prime factorization of 88647 in exponential form is:

88647 = 3¹ × 13¹ × 2273¹

Step-3: Factors of 88638

List of positive integer factors of 88638 that divides 88638 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 79, 102, 158, 187, 237, 374, 474, 561, 869, 1122, 1343, 1738, 2607, 2686, 4029, 5214, 8058, 14773, 29546, 44319

Step-4: Factors of 88647

List of positive integer factors of 88647 that divides 88638 without a remainder.

1, 3, 13, 39, 2273, 6819, 29549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88638 and 88647. The biggest common factor number is the GCF number.
So the greatest common factor 88638 and 88647 is 3.

Also check out the Least Common Multiple of 88638 and 88647