What is the Greatest Common Factor of 88624 and 88638?

Greatest common factor (GCF) of 88624 and 88638 is 2.

GCF(88624,88638) = 2

We will now calculate the prime factors of 88624 and 88638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88624 and 88638.

How to find the GCF of 88624 and 88638?

We will first find the prime factorization of 88624 and 88638. After we will calculate the factors of 88624 and 88638 and find the biggest common factor number .

Step-1: Prime Factorization of 88624

Prime factors of 88624 are 2, 29, 191. Prime factorization of 88624 in exponential form is:

88624 = 2⁴ × 29¹ × 191¹

Step-2: 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-3: Factors of 88624

List of positive integer factors of 88624 that divides 88624 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 191, 232, 382, 464, 764, 1528, 3056, 5539, 11078, 22156, 44312

Step-4: Factors of 88638

List of positive integer factors of 88638 that divides 88624 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88624 and 88638. The biggest common factor number is the GCF number.
So the greatest common factor 88624 and 88638 is 2.

Also check out the Least Common Multiple of 88624 and 88638