Greatest Common Factor of 5463 and 5469

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 5463, 5469 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5463 and 5469 is 3.

GCF(5463,5469) = 3

GCF of 5463 and 5469

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

GCF of:
and

Greatest Common Factor of 5463 and 5469

GCF of 5463 and 5469 is 3

Prime Factorization of 5463


3 5463
3 1821
607 607
1

Prime factors of 5463 are 3,607. Prime factorization of 5463 in exponential form is:

5463 = 32×6071

Prime Factorization of 5469


3 5469
1823 1823
1

Prime factors of 5469 are 3,1823. Prime factorization of 5469 in exponential form is:

5469 = 31×18231

∴ So by taking common prime factors GCF of 5463 and 5469 is 3

Greatest Common Factor of 5463 and 5469 by matching factors method

Factors of 5463

List of positive integer factors of 5463 that divides 5463 without a remainder.

1,3,9,607,1821,5463

Factors of 5469

List of positive integer factors of 5469 that divides 5469 without a remainder.

1,3,1823,5469

Greatest Common Factor

We found the factors and prime factorization of 5463 and 5469. The biggest common factor number is the GCF number.
So the greatest common factor 5463 and 5469 is 3.

Also check out the Least Common Multiple of 5463 and 5469

Properties of GCF 5463 and 5469

(i) The GCF of 5463 and 5469 is associative

GCF of 5463 and 5469 = GCF of 5469 and 5463

Related Greatest Common Factor of 5463

Related Greatest Common Factor of 5469

Frequently Asked Questions on GCF of 5463 and 5469

1. What is the GCF of 5463 and 5469?

Answer: GCF of 5463 and 5469 is 3.

2. What are the Factors of 5463?

Answer: Factors of 5463 are 1, 3, 9, 607, 1821, 5463. There are 6 integers that are factors of 5463. The greatest factor of 5463 is 5463.

3. What are the Factors of 5469?

Answer: Factors of 5469 are 1, 3, 1823, 5469. There are 4 integers that are factors of 5469. The greatest factor of 5469 is 5469.

4. How to Find the GCF of 5463 and 5469?

Answer:

Greatest Common Factor of 5463 and 5469 = 3

Step 1: Find the prime factorization of 5463

5463 = 3 x 3 x 607

Step 2: Find the prime factorization of 5469

5469 = 3 x 1823

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5463 and 5469 is 3