What is the Greatest Common Factor of 88400 and 88413?

Greatest common factor (GCF) of 88400 and 88413 is 13.

GCF(88400,88413) = 13

We will now calculate the prime factors of 88400 and 88413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88400 and 88413.

How to find the GCF of 88400 and 88413?

We will first find the prime factorization of 88400 and 88413. After we will calculate the factors of 88400 and 88413 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 88413

Prime factors of 88413 are 3, 13, 2267. Prime factorization of 88413 in exponential form is:

88413 = 3¹ × 13¹ × 2267¹

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 88413

List of positive integer factors of 88413 that divides 88400 without a remainder.

1, 3, 13, 39, 2267, 6801, 29471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88400 and 88413. The biggest common factor number is the GCF number.
So the greatest common factor 88400 and 88413 is 13.

Also check out the Least Common Multiple of 88400 and 88413