What is the Greatest Common Factor of 10380 and 10388?

Greatest common factor (GCF) of 10380 and 10388 is 4.

GCF(10380,10388) = 4

We will now calculate the prime factors of 10380 and 10388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10380 and 10388.

How to find the GCF of 10380 and 10388?

We will first find the prime factorization of 10380 and 10388. After we will calculate the factors of 10380 and 10388 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 10388

Prime factors of 10388 are 2, 7, 53. Prime factorization of 10388 in exponential form is:

10388 = 2² × 7² × 53¹

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 10388

List of positive integer factors of 10388 that divides 10380 without a remainder.

1, 2, 4, 7, 14, 28, 49, 53, 98, 106, 196, 212, 371, 742, 1484, 2597, 5194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10380 and 10388. The biggest common factor number is the GCF number.
So the greatest common factor 10380 and 10388 is 4.

Also check out the Least Common Multiple of 10380 and 10388