What is the Greatest Common Factor of 10380 and 10397?

Greatest common factor (GCF) of 10380 and 10397 is 1.

GCF(10380,10397) = 1

We will now calculate the prime factors of 10380 and 10397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10380 and 10397.

How to find the GCF of 10380 and 10397?

We will first find the prime factorization of 10380 and 10397. After we will calculate the factors of 10380 and 10397 and find the biggest common factor number .

Step-1: Prime Factorization of 10380

Prime factors of 10380 are 2, 3, 5, 173. Prime factorization of 10380 in exponential form is:

10380 = 2² × 3¹ × 5¹ × 173¹

Step-2: Prime Factorization of 10397

Prime factors of 10397 are 37, 281. Prime factorization of 10397 in exponential form is:

10397 = 37¹ × 281¹

Step-3: Factors of 10380

List of positive integer factors of 10380 that divides 10380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 173, 346, 519, 692, 865, 1038, 1730, 2076, 2595, 3460, 5190

Step-4: Factors of 10397

List of positive integer factors of 10397 that divides 10380 without a remainder.

1, 37, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10380 and 10397. The biggest common factor number is the GCF number.
So the greatest common factor 10380 and 10397 is 1.

Also check out the Least Common Multiple of 10380 and 10397