What is the Greatest Common Factor of 10388 and 10408?

Greatest common factor (GCF) of 10388 and 10408 is 4.

GCF(10388,10408) = 4

We will now calculate the prime factors of 10388 and 10408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10388 and 10408.

How to find the GCF of 10388 and 10408?

We will first find the prime factorization of 10388 and 10408. After we will calculate the factors of 10388 and 10408 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 10408

Prime factors of 10408 are 2, 1301. Prime factorization of 10408 in exponential form is:

10408 = 2³ × 1301¹

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 10408

List of positive integer factors of 10408 that divides 10388 without a remainder.

1, 2, 4, 8, 1301, 2602, 5204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10388 and 10408. The biggest common factor number is the GCF number.
So the greatest common factor 10388 and 10408 is 4.

Also check out the Least Common Multiple of 10388 and 10408