Greatest Common Factor of 296 and 298

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 296, 298 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 296 and 298 is 2.

GCF(296,298) = 2

GCF of 296 and 298

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

GCF of:
and

Greatest Common Factor of 296 and 298

GCF of 296 and 298 is 2

Prime Factorization of 296


2 296
2 148
2 74
37 37
1

Prime factors of 296 are 2,37. Prime factorization of 296 in exponential form is:

296 = 23×371

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

∴ So by taking common prime factors GCF of 296 and 298 is 2

Greatest Common Factor of 296 and 298 by matching factors method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 298

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

1,2,149,298

Greatest Common Factor

We found the factors and prime factorization of 296 and 298. The biggest common factor number is the GCF number.
So the greatest common factor 296 and 298 is 2.

Also check out the Least Common Multiple of 296 and 298

Properties of GCF 296 and 298

(i) The GCF of 296 and 298 is associative

GCF of 296 and 298 = GCF of 298 and 296

Related Greatest Common Factor of 296

Related Greatest Common Factor of 298

Frequently Asked Questions on GCF of 296 and 298

1. What is the GCF of 296 and 298?

Answer: GCF of 296 and 298 is 2.

2. What are the Factors of 296?

Answer: Factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. There are 8 integers that are factors of 296. The greatest factor of 296 is 296.

3. 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.

4. How to Find the GCF of 296 and 298?

Answer:

Greatest Common Factor of 296 and 298 = 2

Step 1: Find the prime factorization of 296

296 = 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 298

298 = 2 x 149

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 296 and 298 is 2