Greatest Common Factor of 298 and 304

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 298, 304 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 298 and 304 is 2.

GCF(298,304) = 2

GCF of 298 and 304

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

GCF of:
and

Greatest Common Factor of 298 and 304

GCF of 298 and 304 is 2

Prime Factorization of 298


2 298
149 149
1

Prime factors of 298 are 2,149. Prime factorization of 298 in exponential form is:

298 = 21×1491

Prime Factorization of 304


2 304
2 152
2 76
2 38
19 19
1

Prime factors of 304 are 2,19. Prime factorization of 304 in exponential form is:

304 = 24×191

∴ So by taking common prime factors GCF of 298 and 304 is 2

Greatest Common Factor of 298 and 304 by matching factors method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors and prime factorization of 298 and 304. The biggest common factor number is the GCF number.
So the greatest common factor 298 and 304 is 2.

Also check out the Least Common Multiple of 298 and 304

Properties of GCF 298 and 304

(i) The GCF of 298 and 304 is associative

GCF of 298 and 304 = GCF of 304 and 298

Related Greatest Common Factor of 298

Related Greatest Common Factor of 304

Frequently Asked Questions on GCF of 298 and 304

1. What is the GCF of 298 and 304?

Answer: GCF of 298 and 304 is 2.

2. What are the Factors of 298?

Answer: Factors of 298 are 1, 2, 149, 298. There are 4 integers that are factors of 298. The greatest factor of 298 is 298.

3. What are the Factors of 304?

Answer: Factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. There are 10 integers that are factors of 304. The greatest factor of 304 is 304.

4. How to Find the GCF of 298 and 304?

Answer:

Greatest Common Factor of 298 and 304 = 2

Step 1: Find the prime factorization of 298

298 = 2 x 149

Step 2: Find the prime factorization of 304

304 = 2 x 2 x 2 x 2 x 19

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

GCF = 2

Step 4: Therefore, the greatest common factor of 298 and 304 is 2