What is the Greatest Common Factor of 88400 and 88409?

Greatest common factor (GCF) of 88400 and 88409 is 1.

GCF(88400,88409) = 1

We will now calculate the prime factors of 88400 and 88409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88400 and 88409.

How to find the GCF of 88400 and 88409?

We will first find the prime factorization of 88400 and 88409. After we will calculate the factors of 88400 and 88409 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 88409

Prime factors of 88409 are 211, 419. Prime factorization of 88409 in exponential form is:

88409 = 211¹ × 419¹

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 88409

List of positive integer factors of 88409 that divides 88400 without a remainder.

1, 211, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88400 and 88409. The biggest common factor number is the GCF number.
So the greatest common factor 88400 and 88409 is 1.

Also check out the Least Common Multiple of 88400 and 88409