What is the Greatest Common Factor of 80385 and 80400?

Greatest common factor (GCF) of 80385 and 80400 is 15.

GCF(80385,80400) = 15

We will now calculate the prime factors of 80385 and 80400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80385 and 80400.

How to find the GCF of 80385 and 80400?

We will first find the prime factorization of 80385 and 80400. After we will calculate the factors of 80385 and 80400 and find the biggest common factor number .

Step-1: Prime Factorization of 80385

Prime factors of 80385 are 3, 5, 23, 233. Prime factorization of 80385 in exponential form is:

80385 = 3¹ × 5¹ × 23¹ × 233¹

Step-2: Prime Factorization of 80400

Prime factors of 80400 are 2, 3, 5, 67. Prime factorization of 80400 in exponential form is:

80400 = 2⁴ × 3¹ × 5² × 67¹

Step-3: Factors of 80385

List of positive integer factors of 80385 that divides 80385 without a remainder.

1, 3, 5, 15, 23, 69, 115, 233, 345, 699, 1165, 3495, 5359, 16077, 26795

Step-4: Factors of 80400

List of positive integer factors of 80400 that divides 80385 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 67, 75, 80, 100, 120, 134, 150, 200, 201, 240, 268, 300, 335, 400, 402, 536, 600, 670, 804, 1005, 1072, 1200, 1340, 1608, 1675, 2010, 2680, 3216, 3350, 4020, 5025, 5360, 6700, 8040, 10050, 13400, 16080, 20100, 26800, 40200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80385 and 80400. The biggest common factor number is the GCF number.
So the greatest common factor 80385 and 80400 is 15.

Also check out the Least Common Multiple of 80385 and 80400