Greatest Common Factor of 490 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 490, 496 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 490 and 496 is 2.

GCF(490,496) = 2

GCF of 490 and 496

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

GCF of:
and

Greatest Common Factor of 490 and 496

GCF of 490 and 496 is 2

Prime Factorization of 490


2 490
5 245
7 49
7 7
1

Prime factors of 490 are 2,5,7. Prime factorization of 490 in exponential form is:

490 = 21×51×72

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 490 and 496 is 2

Greatest Common Factor of 490 and 496 by matching factors method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

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 490 and 496. The biggest common factor number is the GCF number.
So the greatest common factor 490 and 496 is 2.

Also check out the Least Common Multiple of 490 and 496

Properties of GCF 490 and 496

(i) The GCF of 490 and 496 is associative

GCF of 490 and 496 = GCF of 496 and 490

Related Greatest Common Factor of 490

Related Greatest Common Factor of 496

Frequently Asked Questions on GCF of 490 and 496

1. What is the GCF of 490 and 496?

Answer: GCF of 490 and 496 is 2.

2. What are the Factors of 490?

Answer: Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. There are 12 integers that are factors of 490. The greatest factor of 490 is 490.

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 490 and 496?

Answer:

Greatest Common Factor of 490 and 496 = 2

Step 1: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

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

Step 4: Therefore, the greatest common factor of 490 and 496 is 2