Greatest Common Factor of 492 and 496

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, 496 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 492 and 496 is 4.

GCF(492,496) = 4

GCF of 492 and 496

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

GCF of:
and

Greatest Common Factor of 492 and 496

GCF of 492 and 496 is 4

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 496


2 496
2 248
2 124
2 62
31 31
1

Prime factors of 496 are 2,31. Prime factorization of 496 in exponential form is:

496 = 24×311

∴ So by taking common prime factors GCF of 492 and 496 is 4

Greatest Common Factor of 492 and 496 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 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors and prime factorization of 492 and 496. The biggest common factor number is the GCF number.
So the greatest common factor 492 and 496 is 4.

Also check out the Least Common Multiple of 492 and 496

Properties of GCF 492 and 496

(i) The GCF of 492 and 496 is associative

GCF of 492 and 496 = GCF of 496 and 492

Related Greatest Common Factor of 492

Related Greatest Common Factor of 496

Frequently Asked Questions on GCF of 492 and 496

1. What is the GCF of 492 and 496?

Answer: GCF of 492 and 496 is 4.

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 496?

Answer: Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. There are 10 integers that are factors of 496. The greatest factor of 496 is 496.

4. How to Find the GCF of 492 and 496?

Answer:

Greatest Common Factor of 492 and 496 = 4

Step 1: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 496

496 = 2 x 2 x 2 x 2 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 492 and 496 is 4