What is the Greatest Common Factor of 10388 and 10402?

Greatest common factor (GCF) of 10388 and 10402 is 14.

GCF(10388,10402) = 14

We will now calculate the prime factors of 10388 and 10402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10388 and 10402.

How to find the GCF of 10388 and 10402?

We will first find the prime factorization of 10388 and 10402. After we will calculate the factors of 10388 and 10402 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10402

Prime factors of 10402 are 2, 7, 743. Prime factorization of 10402 in exponential form is:

10402 = 2¹ × 7¹ × 743¹

Step-3: Factors of 10388

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

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

Step-4: Factors of 10402

List of positive integer factors of 10402 that divides 10388 without a remainder.

1, 2, 7, 14, 743, 1486, 5201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10388 and 10402. The biggest common factor number is the GCF number.
So the greatest common factor 10388 and 10402 is 14.

Also check out the Least Common Multiple of 10388 and 10402