Greatest Common Factor of 292 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 292, 298 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 292 and 298 is 2.

GCF(292,298) = 2

GCF of 292 and 298

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

GCF of:
and

Greatest Common Factor of 292 and 298

GCF of 292 and 298 is 2

Prime Factorization of 292


2 292
2 146
73 73
1

Prime factors of 292 are 2,73. Prime factorization of 292 in exponential form is:

292 = 22×731

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 292 and 298 is 2

Greatest Common Factor of 292 and 298 by matching factors method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

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 292 and 298. The biggest common factor number is the GCF number.
So the greatest common factor 292 and 298 is 2.

Also check out the Least Common Multiple of 292 and 298

Properties of GCF 292 and 298

(i) The GCF of 292 and 298 is associative

GCF of 292 and 298 = GCF of 298 and 292

Related Greatest Common Factor of 292

Related Greatest Common Factor of 298

Frequently Asked Questions on GCF of 292 and 298

1. What is the GCF of 292 and 298?

Answer: GCF of 292 and 298 is 2.

2. What are the Factors of 292?

Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.

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 292 and 298?

Answer:

Greatest Common Factor of 292 and 298 = 2

Step 1: Find the prime factorization of 292

292 = 2 x 2 x 73

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 292 and 298 is 2