What is the Greatest Common Factor of 10400 and 10411?

Greatest common factor (GCF) of 10400 and 10411 is 1.

GCF(10400,10411) = 1

We will now calculate the prime factors of 10400 and 10411, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10400 and 10411.

How to find the GCF of 10400 and 10411?

We will first find the prime factorization of 10400 and 10411. After we will calculate the factors of 10400 and 10411 and find the biggest common factor number .

Step-1: Prime Factorization of 10400

Prime factors of 10400 are 2, 5, 13. Prime factorization of 10400 in exponential form is:

10400 = 2⁵ × 5² × 13¹

Step-2: Prime Factorization of 10411

Prime factors of 10411 are 29, 359. Prime factorization of 10411 in exponential form is:

10411 = 29¹ × 359¹

Step-3: Factors of 10400

List of positive integer factors of 10400 that divides 10400 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65, 80, 100, 104, 130, 160, 200, 208, 260, 325, 400, 416, 520, 650, 800, 1040, 1300, 2080, 2600, 5200

Step-4: Factors of 10411

List of positive integer factors of 10411 that divides 10400 without a remainder.

1, 29, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10400 and 10411. The biggest common factor number is the GCF number.
So the greatest common factor 10400 and 10411 is 1.

Also check out the Least Common Multiple of 10400 and 10411