Greatest Common Factor of 299 and 305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 299, 305 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 299 and 305 is 1.

GCF(299,305) = 1

GCF of 299 and 305

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 299 and 305

GCF of 299 and 305 is 1

Prime Factorization of 299


13 299
23 23
1

Prime factors of 299 are 13,23. Prime factorization of 299 in exponential form is:

299 = 131×231

Prime Factorization of 305


5 305
61 61
1

Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:

305 = 51×611

∴ So by taking common prime factors GCF of 299 and 305 is 1

Greatest Common Factor of 299 and 305 by matching factors method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors and prime factorization of 299 and 305. The biggest common factor number is the GCF number.
So the greatest common factor 299 and 305 is 1.

Also check out the Least Common Multiple of 299 and 305

Properties of GCF 299 and 305

(i) The GCF of 299 and 305 is associative

GCF of 299 and 305 = GCF of 305 and 299

Related Greatest Common Factor of 299

Related Greatest Common Factor of 305

Frequently Asked Questions on GCF of 299 and 305

1. What is the GCF of 299 and 305?

Answer: GCF of 299 and 305 is 1.

2. What are the Factors of 299?

Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.

3. What are the Factors of 305?

Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.

4. How to Find the GCF of 299 and 305?

Answer:

Greatest Common Factor of 299 and 305 = 1

Step 1: Find the prime factorization of 299

299 = 13 x 23

Step 2: Find the prime factorization of 305

305 = 5 x 61

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 299 and 305 is 1