What is the Greatest Common Factor of 11301 and 11319?

Greatest common factor (GCF) of 11301 and 11319 is 3.

GCF(11301,11319) = 3

We will now calculate the prime factors of 11301 and 11319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11301 and 11319.

How to find the GCF of 11301 and 11319?

We will first find the prime factorization of 11301 and 11319. After we will calculate the factors of 11301 and 11319 and find the biggest common factor number .

Step-1: Prime Factorization of 11301

Prime factors of 11301 are 3, 3767. Prime factorization of 11301 in exponential form is:

11301 = 3¹ × 3767¹

Step-2: Prime Factorization of 11319

Prime factors of 11319 are 3, 7, 11. Prime factorization of 11319 in exponential form is:

11319 = 3¹ × 7³ × 11¹

Step-3: Factors of 11301

List of positive integer factors of 11301 that divides 11301 without a remainder.

1, 3, 3767

Step-4: Factors of 11319

List of positive integer factors of 11319 that divides 11301 without a remainder.

1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 343, 539, 1029, 1617, 3773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11301 and 11319. The biggest common factor number is the GCF number.
So the greatest common factor 11301 and 11319 is 3.

Also check out the Least Common Multiple of 11301 and 11319