Greatest Common Factor of 4490 and 4496

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 4490, 4496 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4490 and 4496 is 2.

GCF(4490,4496) = 2

GCF of 4490 and 4496

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

GCF of:
and

Greatest Common Factor of 4490 and 4496

GCF of 4490 and 4496 is 2

Prime Factorization of 4490


2 4490
5 2245
449 449
1

Prime factors of 4490 are 2,5,449. Prime factorization of 4490 in exponential form is:

4490 = 21×51×4491

Prime Factorization of 4496


2 4496
2 2248
2 1124
2 562
281 281
1

Prime factors of 4496 are 2,281. Prime factorization of 4496 in exponential form is:

4496 = 24×2811

∴ So by taking common prime factors GCF of 4490 and 4496 is 2

Greatest Common Factor of 4490 and 4496 by matching factors method

Factors of 4490

List of positive integer factors of 4490 that divides 4490 without a remainder.

1,2,5,10,449,898,2245,4490

Factors of 4496

List of positive integer factors of 4496 that divides 4496 without a remainder.

1,2,4,8,16,281,562,1124,2248,4496

Greatest Common Factor

We found the factors and prime factorization of 4490 and 4496. The biggest common factor number is the GCF number.
So the greatest common factor 4490 and 4496 is 2.

Also check out the Least Common Multiple of 4490 and 4496

Properties of GCF 4490 and 4496

(i) The GCF of 4490 and 4496 is associative

GCF of 4490 and 4496 = GCF of 4496 and 4490

Related Greatest Common Factor of 4490

Related Greatest Common Factor of 4496

Frequently Asked Questions on GCF of 4490 and 4496

1. What is the GCF of 4490 and 4496?

Answer: GCF of 4490 and 4496 is 2.

2. What are the Factors of 4490?

Answer: Factors of 4490 are 1, 2, 5, 10, 449, 898, 2245, 4490. There are 8 integers that are factors of 4490. The greatest factor of 4490 is 4490.

3. What are the Factors of 4496?

Answer: Factors of 4496 are 1, 2, 4, 8, 16, 281, 562, 1124, 2248, 4496. There are 10 integers that are factors of 4496. The greatest factor of 4496 is 4496.

4. How to Find the GCF of 4490 and 4496?

Answer:

Greatest Common Factor of 4490 and 4496 = 2

Step 1: Find the prime factorization of 4490

4490 = 2 x 5 x 449

Step 2: Find the prime factorization of 4496

4496 = 2 x 2 x 2 x 2 x 281

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 4490 and 4496 is 2