What is the Greatest Common Factor of 88384 and 88396?

Greatest common factor (GCF) of 88384 and 88396 is 4.

GCF(88384,88396) = 4

We will now calculate the prime factors of 88384 and 88396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88384 and 88396.

How to find the GCF of 88384 and 88396?

We will first find the prime factorization of 88384 and 88396. After we will calculate the factors of 88384 and 88396 and find the biggest common factor number .

Step-1: Prime Factorization of 88384

Prime factors of 88384 are 2, 1381. Prime factorization of 88384 in exponential form is:

88384 = 2⁶ × 1381¹

Step-2: Prime Factorization of 88396

Prime factors of 88396 are 2, 7, 11, 41. Prime factorization of 88396 in exponential form is:

88396 = 2² × 7² × 11¹ × 41¹

Step-3: Factors of 88384

List of positive integer factors of 88384 that divides 88384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1381, 2762, 5524, 11048, 22096, 44192

Step-4: Factors of 88396

List of positive integer factors of 88396 that divides 88384 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 41, 44, 49, 77, 82, 98, 154, 164, 196, 287, 308, 451, 539, 574, 902, 1078, 1148, 1804, 2009, 2156, 3157, 4018, 6314, 8036, 12628, 22099, 44198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88384 and 88396. The biggest common factor number is the GCF number.
So the greatest common factor 88384 and 88396 is 4.

Also check out the Least Common Multiple of 88384 and 88396