What is the Greatest Common Factor of 11498 and 11509?

Greatest common factor (GCF) of 11498 and 11509 is 1.

GCF(11498,11509) = 1

We will now calculate the prime factors of 11498 and 11509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11498 and 11509.

How to find the GCF of 11498 and 11509?

We will first find the prime factorization of 11498 and 11509. After we will calculate the factors of 11498 and 11509 and find the biggest common factor number .

Step-1: Prime Factorization of 11498

Prime factors of 11498 are 2, 5749. Prime factorization of 11498 in exponential form is:

11498 = 2¹ × 5749¹

Step-2: Prime Factorization of 11509

Prime factors of 11509 are 17, 677. Prime factorization of 11509 in exponential form is:

11509 = 17¹ × 677¹

Step-3: Factors of 11498

List of positive integer factors of 11498 that divides 11498 without a remainder.

1, 2, 5749

Step-4: Factors of 11509

List of positive integer factors of 11509 that divides 11498 without a remainder.

1, 17, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11498 and 11509. The biggest common factor number is the GCF number.
So the greatest common factor 11498 and 11509 is 1.

Also check out the Least Common Multiple of 11498 and 11509