What is the Greatest Common Factor of 88400 and 88406?

Greatest common factor (GCF) of 88400 and 88406 is 2.

GCF(88400,88406) = 2

We will now calculate the prime factors of 88400 and 88406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88400 and 88406.

How to find the GCF of 88400 and 88406?

We will first find the prime factorization of 88400 and 88406. After we will calculate the factors of 88400 and 88406 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88406

Prime factors of 88406 are 2, 44203. Prime factorization of 88406 in exponential form is:

88406 = 2¹ × 44203¹

Step-3: Factors of 88400

List of positive integer factors of 88400 that divides 88400 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

Step-4: Factors of 88406

List of positive integer factors of 88406 that divides 88400 without a remainder.

1, 2, 44203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88400 and 88406. The biggest common factor number is the GCF number.
So the greatest common factor 88400 and 88406 is 2.

Also check out the Least Common Multiple of 88400 and 88406