What is the Greatest Common Factor of 31365 and 31384?

Greatest common factor (GCF) of 31365 and 31384 is 1.

GCF(31365,31384) = 1

We will now calculate the prime factors of 31365 and 31384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31365 and 31384.

How to find the GCF of 31365 and 31384?

We will first find the prime factorization of 31365 and 31384. After we will calculate the factors of 31365 and 31384 and find the biggest common factor number .

Step-1: Prime Factorization of 31365

Prime factors of 31365 are 3, 5, 17, 41. Prime factorization of 31365 in exponential form is:

31365 = 3² × 5¹ × 17¹ × 41¹

Step-2: Prime Factorization of 31384

Prime factors of 31384 are 2, 3923. Prime factorization of 31384 in exponential form is:

31384 = 2³ × 3923¹

Step-3: Factors of 31365

List of positive integer factors of 31365 that divides 31365 without a remainder.

1, 3, 5, 9, 15, 17, 41, 45, 51, 85, 123, 153, 205, 255, 369, 615, 697, 765, 1845, 2091, 3485, 6273, 10455

Step-4: Factors of 31384

List of positive integer factors of 31384 that divides 31365 without a remainder.

1, 2, 4, 8, 3923, 7846, 15692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31365 and 31384. The biggest common factor number is the GCF number.
So the greatest common factor 31365 and 31384 is 1.

Also check out the Least Common Multiple of 31365 and 31384