What is the Greatest Common Factor of 11315 and 11335?

Greatest common factor (GCF) of 11315 and 11335 is 5.

GCF(11315,11335) = 5

We will now calculate the prime factors of 11315 and 11335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11315 and 11335.

How to find the GCF of 11315 and 11335?

We will first find the prime factorization of 11315 and 11335. After we will calculate the factors of 11315 and 11335 and find the biggest common factor number .

Step-1: Prime Factorization of 11315

Prime factors of 11315 are 5, 31, 73. Prime factorization of 11315 in exponential form is:

11315 = 5¹ × 31¹ × 73¹

Step-2: Prime Factorization of 11335

Prime factors of 11335 are 5, 2267. Prime factorization of 11335 in exponential form is:

11335 = 5¹ × 2267¹

Step-3: Factors of 11315

List of positive integer factors of 11315 that divides 11315 without a remainder.

1, 5, 31, 73, 155, 365, 2263

Step-4: Factors of 11335

List of positive integer factors of 11335 that divides 11315 without a remainder.

1, 5, 2267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11315 and 11335. The biggest common factor number is the GCF number.
So the greatest common factor 11315 and 11335 is 5.

Also check out the Least Common Multiple of 11315 and 11335