What is the Greatest Common Factor of 11320 and 11335?

Greatest common factor (GCF) of 11320 and 11335 is 5.

GCF(11320,11335) = 5

We will now calculate the prime factors of 11320 and 11335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11320 and 11335.

How to find the GCF of 11320 and 11335?

We will first find the prime factorization of 11320 and 11335. After we will calculate the factors of 11320 and 11335 and find the biggest common factor number .

Step-1: Prime Factorization of 11320

Prime factors of 11320 are 2, 5, 283. Prime factorization of 11320 in exponential form is:

11320 = 2³ × 5¹ × 283¹

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 11320

List of positive integer factors of 11320 that divides 11320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 283, 566, 1132, 1415, 2264, 2830, 5660

Step-4: Factors of 11335

List of positive integer factors of 11335 that divides 11320 without a remainder.

1, 5, 2267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11320 and 11335. The biggest common factor number is the GCF number.
So the greatest common factor 11320 and 11335 is 5.

Also check out the Least Common Multiple of 11320 and 11335