What is the Greatest Common Factor of 11459 and 11474?

Greatest common factor (GCF) of 11459 and 11474 is 1.

GCF(11459,11474) = 1

We will now calculate the prime factors of 11459 and 11474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11459 and 11474.

How to find the GCF of 11459 and 11474?

We will first find the prime factorization of 11459 and 11474. After we will calculate the factors of 11459 and 11474 and find the biggest common factor number .

Step-1: Prime Factorization of 11459

Prime factors of 11459 are 7, 1637. Prime factorization of 11459 in exponential form is:

11459 = 7¹ × 1637¹

Step-2: Prime Factorization of 11474

Prime factors of 11474 are 2, 5737. Prime factorization of 11474 in exponential form is:

11474 = 2¹ × 5737¹

Step-3: Factors of 11459

List of positive integer factors of 11459 that divides 11459 without a remainder.

1, 7, 1637

Step-4: Factors of 11474

List of positive integer factors of 11474 that divides 11459 without a remainder.

1, 2, 5737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11459 and 11474. The biggest common factor number is the GCF number.
So the greatest common factor 11459 and 11474 is 1.

Also check out the Least Common Multiple of 11459 and 11474