What is the Greatest Common Factor of 88384 and 88400?

Greatest common factor (GCF) of 88384 and 88400 is 16.

GCF(88384,88400) = 16

We will now calculate the prime factors of 88384 and 88400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88384 and 88400.

How to find the GCF of 88384 and 88400?

We will first find the prime factorization of 88384 and 88400. After we will calculate the factors of 88384 and 88400 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 88400

Prime factors of 88400 are 2, 5, 13, 17. Prime factorization of 88400 in exponential form is:

88400 = 2⁴ × 5² × 13¹ × 17¹

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 88400

List of positive integer factors of 88400 that divides 88384 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 25, 26, 34, 40, 50, 52, 65, 68, 80, 85, 100, 104, 130, 136, 170, 200, 208, 221, 260, 272, 325, 340, 400, 425, 442, 520, 650, 680, 850, 884, 1040, 1105, 1300, 1360, 1700, 1768, 2210, 2600, 3400, 3536, 4420, 5200, 5525, 6800, 8840, 11050, 17680, 22100, 44200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88384 and 88400. The biggest common factor number is the GCF number.
So the greatest common factor 88384 and 88400 is 16.

Also check out the Least Common Multiple of 88384 and 88400