What is the Greatest Common Factor of 11403 and 11417?

Greatest common factor (GCF) of 11403 and 11417 is 7.

GCF(11403,11417) = 7

We will now calculate the prime factors of 11403 and 11417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11403 and 11417.

How to find the GCF of 11403 and 11417?

We will first find the prime factorization of 11403 and 11417. After we will calculate the factors of 11403 and 11417 and find the biggest common factor number .

Step-1: Prime Factorization of 11403

Prime factors of 11403 are 3, 7, 181. Prime factorization of 11403 in exponential form is:

11403 = 3² × 7¹ × 181¹

Step-2: Prime Factorization of 11417

Prime factors of 11417 are 7, 233. Prime factorization of 11417 in exponential form is:

11417 = 7² × 233¹

Step-3: Factors of 11403

List of positive integer factors of 11403 that divides 11403 without a remainder.

1, 3, 7, 9, 21, 63, 181, 543, 1267, 1629, 3801

Step-4: Factors of 11417

List of positive integer factors of 11417 that divides 11403 without a remainder.

1, 7, 49, 233, 1631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11403 and 11417. The biggest common factor number is the GCF number.
So the greatest common factor 11403 and 11417 is 7.

Also check out the Least Common Multiple of 11403 and 11417