Greatest Common Factor of 492 and 494

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 492, 494 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 492 and 494 is 2.

GCF(492,494) = 2

GCF of 492 and 494

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

GCF of:
and

Greatest Common Factor of 492 and 494

GCF of 492 and 494 is 2

Prime Factorization of 492


2 492
2 246
3 123
41 41
1

Prime factors of 492 are 2,3,41. Prime factorization of 492 in exponential form is:

492 = 22×31×411

Prime Factorization of 494


2 494
13 247
19 19
1

Prime factors of 494 are 2,13,19. Prime factorization of 494 in exponential form is:

494 = 21×131×191

∴ So by taking common prime factors GCF of 492 and 494 is 2

Greatest Common Factor of 492 and 494 by matching factors method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors and prime factorization of 492 and 494. The biggest common factor number is the GCF number.
So the greatest common factor 492 and 494 is 2.

Also check out the Least Common Multiple of 492 and 494

Properties of GCF 492 and 494

(i) The GCF of 492 and 494 is associative

GCF of 492 and 494 = GCF of 494 and 492

Related Greatest Common Factor of 492

Related Greatest Common Factor of 494

Frequently Asked Questions on GCF of 492 and 494

1. What is the GCF of 492 and 494?

Answer: GCF of 492 and 494 is 2.

2. What are the Factors of 492?

Answer: Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. There are 12 integers that are factors of 492. The greatest factor of 492 is 492.

3. What are the Factors of 494?

Answer: Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494. There are 8 integers that are factors of 494. The greatest factor of 494 is 494.

4. How to Find the GCF of 492 and 494?

Answer:

Greatest Common Factor of 492 and 494 = 2

Step 1: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 494

494 = 2 x 13 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 492 and 494 is 2