What is the Greatest Common Factor of 88638 and 88654?

Greatest common factor (GCF) of 88638 and 88654 is 2.

GCF(88638,88654) = 2

We will now calculate the prime factors of 88638 and 88654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88638 and 88654.

How to find the GCF of 88638 and 88654?

We will first find the prime factorization of 88638 and 88654. After we will calculate the factors of 88638 and 88654 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 88654

Prime factors of 88654 are 2, 19, 2333. Prime factorization of 88654 in exponential form is:

88654 = 2¹ × 19¹ × 2333¹

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 88654

List of positive integer factors of 88654 that divides 88638 without a remainder.

1, 2, 19, 38, 2333, 4666, 44327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88638 and 88654. The biggest common factor number is the GCF number.
So the greatest common factor 88638 and 88654 is 2.

Also check out the Least Common Multiple of 88638 and 88654