Greatest Common Factor of 5540 and 5545

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 5540, 5545 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5540 and 5545 is 5.

GCF(5540,5545) = 5

GCF of 5540 and 5545

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

GCF of:
and

Greatest Common Factor of 5540 and 5545

GCF of 5540 and 5545 is 5

Prime Factorization of 5540


2 5540
2 2770
5 1385
277 277
1

Prime factors of 5540 are 2,5,277. Prime factorization of 5540 in exponential form is:

5540 = 22×51×2771

Prime Factorization of 5545


5 5545
1109 1109
1

Prime factors of 5545 are 5,1109. Prime factorization of 5545 in exponential form is:

5545 = 51×11091

∴ So by taking common prime factors GCF of 5540 and 5545 is 5

Greatest Common Factor of 5540 and 5545 by matching factors method

Factors of 5540

List of positive integer factors of 5540 that divides 5540 without a remainder.

1,2,4,5,10,20,277,554,1108,1385,2770,5540

Factors of 5545

List of positive integer factors of 5545 that divides 5545 without a remainder.

1,5,1109,5545

Greatest Common Factor

We found the factors and prime factorization of 5540 and 5545. The biggest common factor number is the GCF number.
So the greatest common factor 5540 and 5545 is 5.

Also check out the Least Common Multiple of 5540 and 5545

Properties of GCF 5540 and 5545

(i) The GCF of 5540 and 5545 is associative

GCF of 5540 and 5545 = GCF of 5545 and 5540

Related Greatest Common Factor of 5540

Related Greatest Common Factor of 5545

Frequently Asked Questions on GCF of 5540 and 5545

1. What is the GCF of 5540 and 5545?

Answer: GCF of 5540 and 5545 is 5.

2. What are the Factors of 5540?

Answer: Factors of 5540 are 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540. There are 12 integers that are factors of 5540. The greatest factor of 5540 is 5540.

3. What are the Factors of 5545?

Answer: Factors of 5545 are 1, 5, 1109, 5545. There are 4 integers that are factors of 5545. The greatest factor of 5545 is 5545.

4. How to Find the GCF of 5540 and 5545?

Answer:

Greatest Common Factor of 5540 and 5545 = 5

Step 1: Find the prime factorization of 5540

5540 = 2 x 2 x 5 x 277

Step 2: Find the prime factorization of 5545

5545 = 5 x 1109

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 5540 and 5545 is 5