What is the Greatest Common Factor of 1365 and 1384?

Greatest common factor (GCF) of 1365 and 1384 is 1.

GCF(1365,1384) = 1

We will now calculate the prime factors of 1365 and 1384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1365 and 1384.

How to find the GCF of 1365 and 1384?

We will first find the prime factorization of 1365 and 1384. After we will calculate the factors of 1365 and 1384 and find the biggest common factor number .

Step-1: Prime Factorization of 1365

Prime factors of 1365 are 3, 5, 7, 13. Prime factorization of 1365 in exponential form is:

1365 = 3¹ × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 1384

Prime factors of 1384 are 2, 173. Prime factorization of 1384 in exponential form is:

1384 = 2³ × 173¹

Step-3: Factors of 1365

List of positive integer factors of 1365 that divides 1365 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455

Step-4: Factors of 1384

List of positive integer factors of 1384 that divides 1365 without a remainder.

1, 2, 4, 8, 173, 346, 692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1365 and 1384. The biggest common factor number is the GCF number.
So the greatest common factor 1365 and 1384 is 1.

Also check out the Least Common Multiple of 1365 and 1384