Greatest Common Factor of 488 and 490

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 488, 490 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 488 and 490 is 2.

GCF(488,490) = 2

GCF of 488 and 490

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

GCF of:
and

Greatest Common Factor of 488 and 490

GCF of 488 and 490 is 2

Prime Factorization of 488


2 488
2 244
2 122
61 61
1

Prime factors of 488 are 2,61. Prime factorization of 488 in exponential form is:

488 = 23×611

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

∴ So by taking common prime factors GCF of 488 and 490 is 2

Greatest Common Factor of 488 and 490 by matching factors method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

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

Greatest Common Factor

We found the factors and prime factorization of 488 and 490. The biggest common factor number is the GCF number.
So the greatest common factor 488 and 490 is 2.

Also check out the Least Common Multiple of 488 and 490

Properties of GCF 488 and 490

(i) The GCF of 488 and 490 is associative

GCF of 488 and 490 = GCF of 490 and 488

Related Greatest Common Factor of 488

Related Greatest Common Factor of 490

Frequently Asked Questions on GCF of 488 and 490

1. What is the GCF of 488 and 490?

Answer: GCF of 488 and 490 is 2.

2. What are the Factors of 488?

Answer: Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. There are 8 integers that are factors of 488. The greatest factor of 488 is 488.

3. 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.

4. How to Find the GCF of 488 and 490?

Answer:

Greatest Common Factor of 488 and 490 = 2

Step 1: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

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 488 and 490 is 2