Greatest Common Factor of 5465 and 5470

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 5465, 5470 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5465 and 5470 is 5.

GCF(5465,5470) = 5

GCF of 5465 and 5470

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

GCF of:
and

Greatest Common Factor of 5465 and 5470

GCF of 5465 and 5470 is 5

Prime Factorization of 5465


5 5465
1093 1093
1

Prime factors of 5465 are 5,1093. Prime factorization of 5465 in exponential form is:

5465 = 51×10931

Prime Factorization of 5470


2 5470
5 2735
547 547
1

Prime factors of 5470 are 2,5,547. Prime factorization of 5470 in exponential form is:

5470 = 21×51×5471

∴ So by taking common prime factors GCF of 5465 and 5470 is 5

Greatest Common Factor of 5465 and 5470 by matching factors method

Factors of 5465

List of positive integer factors of 5465 that divides 5465 without a remainder.

1,5,1093,5465

Factors of 5470

List of positive integer factors of 5470 that divides 5470 without a remainder.

1,2,5,10,547,1094,2735,5470

Greatest Common Factor

We found the factors and prime factorization of 5465 and 5470. The biggest common factor number is the GCF number.
So the greatest common factor 5465 and 5470 is 5.

Also check out the Least Common Multiple of 5465 and 5470

Properties of GCF 5465 and 5470

(i) The GCF of 5465 and 5470 is associative

GCF of 5465 and 5470 = GCF of 5470 and 5465

Related Greatest Common Factor of 5465

Related Greatest Common Factor of 5470

Frequently Asked Questions on GCF of 5465 and 5470

1. What is the GCF of 5465 and 5470?

Answer: GCF of 5465 and 5470 is 5.

2. What are the Factors of 5465?

Answer: Factors of 5465 are 1, 5, 1093, 5465. There are 4 integers that are factors of 5465. The greatest factor of 5465 is 5465.

3. What are the Factors of 5470?

Answer: Factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470. There are 8 integers that are factors of 5470. The greatest factor of 5470 is 5470.

4. How to Find the GCF of 5465 and 5470?

Answer:

Greatest Common Factor of 5465 and 5470 = 5

Step 1: Find the prime factorization of 5465

5465 = 5 x 1093

Step 2: Find the prime factorization of 5470

5470 = 2 x 5 x 547

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 5465 and 5470 is 5