What is the Greatest Common Factor of 78300 and 78317?

Greatest common factor (GCF) of 78300 and 78317 is 1.

GCF(78300,78317) = 1

We will now calculate the prime factors of 78300 and 78317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78300 and 78317.

How to find the GCF of 78300 and 78317?

We will first find the prime factorization of 78300 and 78317. After we will calculate the factors of 78300 and 78317 and find the biggest common factor number .

Step-1: Prime Factorization of 78300

Prime factors of 78300 are 2, 3, 5, 29. Prime factorization of 78300 in exponential form is:

78300 = 2² × 3³ × 5² × 29¹

Step-2: Prime Factorization of 78317

Prime factors of 78317 are 78317. Prime factorization of 78317 in exponential form is:

78317 = 78317¹

Step-3: Factors of 78300

List of positive integer factors of 78300 that divides 78300 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 29, 30, 36, 45, 50, 54, 58, 60, 75, 87, 90, 100, 108, 116, 135, 145, 150, 174, 180, 225, 261, 270, 290, 300, 348, 435, 450, 522, 540, 580, 675, 725, 783, 870, 900, 1044, 1305, 1350, 1450, 1566, 1740, 2175, 2610, 2700, 2900, 3132, 3915, 4350, 5220, 6525, 7830, 8700, 13050, 15660, 19575, 26100, 39150

Step-4: Factors of 78317

List of positive integer factors of 78317 that divides 78300 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78300 and 78317. The biggest common factor number is the GCF number.
So the greatest common factor 78300 and 78317 is 1.

Also check out the Least Common Multiple of 78300 and 78317