Greatest Common Factor of 4490 and 4495

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, 4495 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4490 and 4495 is 5.

GCF(4490,4495) = 5

GCF of 4490 and 4495

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

GCF of:
and

Greatest Common Factor of 4490 and 4495

GCF of 4490 and 4495 is 5

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 4495


5 4495
29 899
31 31
1

Prime factors of 4495 are 5,29,31. Prime factorization of 4495 in exponential form is:

4495 = 51×291×311

∴ So by taking common prime factors GCF of 4490 and 4495 is 5

Greatest Common Factor of 4490 and 4495 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 4495

List of positive integer factors of 4495 that divides 4495 without a remainder.

1,5,29,31,145,155,899,4495

Greatest Common Factor

We found the factors and prime factorization of 4490 and 4495. The biggest common factor number is the GCF number.
So the greatest common factor 4490 and 4495 is 5.

Also check out the Least Common Multiple of 4490 and 4495

Properties of GCF 4490 and 4495

(i) The GCF of 4490 and 4495 is associative

GCF of 4490 and 4495 = GCF of 4495 and 4490

Related Greatest Common Factor of 4490

Related Greatest Common Factor of 4495

Frequently Asked Questions on GCF of 4490 and 4495

1. What is the GCF of 4490 and 4495?

Answer: GCF of 4490 and 4495 is 5.

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 4495?

Answer: Factors of 4495 are 1, 5, 29, 31, 145, 155, 899, 4495. There are 8 integers that are factors of 4495. The greatest factor of 4495 is 4495.

4. How to Find the GCF of 4490 and 4495?

Answer:

Greatest Common Factor of 4490 and 4495 = 5

Step 1: Find the prime factorization of 4490

4490 = 2 x 5 x 449

Step 2: Find the prime factorization of 4495

4495 = 5 x 29 x 31

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4490 and 4495 is 5