Greatest Common Factor of 294 and 299

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 294, 299 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 294 and 299 is 1.

GCF(294,299) = 1

GCF of 294 and 299

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

GCF of:
and

Greatest Common Factor of 294 and 299

GCF of 294 and 299 is 1

Prime Factorization of 294


2 294
3 147
7 49
7 7
1

Prime factors of 294 are 2,3,7. Prime factorization of 294 in exponential form is:

294 = 21×31×72

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

∴ So by taking common prime factors GCF of 294 and 299 is 1

Greatest Common Factor of 294 and 299 by matching factors method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 299

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

1,13,23,299

Greatest Common Factor

We found the factors and prime factorization of 294 and 299. The biggest common factor number is the GCF number.
So the greatest common factor 294 and 299 is 1.

Also check out the Least Common Multiple of 294 and 299

Properties of GCF 294 and 299

(i) The GCF of 294 and 299 is associative

GCF of 294 and 299 = GCF of 299 and 294

Related Greatest Common Factor of 294

Related Greatest Common Factor of 299

Frequently Asked Questions on GCF of 294 and 299

1. What is the GCF of 294 and 299?

Answer: GCF of 294 and 299 is 1.

2. What are the Factors of 294?

Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.

3. 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.

4. How to Find the GCF of 294 and 299?

Answer:

Greatest Common Factor of 294 and 299 = 1

Step 1: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

Step 2: Find the prime factorization of 299

299 = 13 x 23

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 294 and 299 is 1