Greatest Common Factor of 490 and 492

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

Greatest common factor (GCF) of 490 and 492 is 2.

GCF(490,492) = 2

GCF of 490 and 492

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

GCF of:
and

Greatest Common Factor of 490 and 492

GCF of 490 and 492 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 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

∴ So by taking common prime factors GCF of 490 and 492 is 2

Greatest Common Factor of 490 and 492 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 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

Greatest Common Factor

We found the factors and prime factorization of 490 and 492. The biggest common factor number is the GCF number.
So the greatest common factor 490 and 492 is 2.

Also check out the Least Common Multiple of 490 and 492

Properties of GCF 490 and 492

(i) The GCF of 490 and 492 is associative

GCF of 490 and 492 = GCF of 492 and 490

Related Greatest Common Factor of 490

Related Greatest Common Factor of 492

Frequently Asked Questions on GCF of 490 and 492

1. What is the GCF of 490 and 492?

Answer: GCF of 490 and 492 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 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.

4. How to Find the GCF of 490 and 492?

Answer:

Greatest Common Factor of 490 and 492 = 2

Step 1: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

Step 2: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

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 492 is 2