Greatest Common Factor of 5470 and 5475

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 5470, 5475 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5470 and 5475 is 5.

GCF(5470,5475) = 5

GCF of 5470 and 5475

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

GCF of:
and

Greatest Common Factor of 5470 and 5475

GCF of 5470 and 5475 is 5

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

Prime Factorization of 5475


3 5475
5 1825
5 365
73 73
1

Prime factors of 5475 are 3,5,73. Prime factorization of 5475 in exponential form is:

5475 = 31×52×731

∴ So by taking common prime factors GCF of 5470 and 5475 is 5

Greatest Common Factor of 5470 and 5475 by matching factors method

Factors of 5470

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

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

Factors of 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1,3,5,15,25,73,75,219,365,1095,1825,5475

Greatest Common Factor

We found the factors and prime factorization of 5470 and 5475. The biggest common factor number is the GCF number.
So the greatest common factor 5470 and 5475 is 5.

Also check out the Least Common Multiple of 5470 and 5475

Properties of GCF 5470 and 5475

(i) The GCF of 5470 and 5475 is associative

GCF of 5470 and 5475 = GCF of 5475 and 5470

Related Greatest Common Factor of 5470

Related Greatest Common Factor of 5475

Frequently Asked Questions on GCF of 5470 and 5475

1. What is the GCF of 5470 and 5475?

Answer: GCF of 5470 and 5475 is 5.

2. 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.

3. What are the Factors of 5475?

Answer: Factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475. There are 12 integers that are factors of 5475. The greatest factor of 5475 is 5475.

4. How to Find the GCF of 5470 and 5475?

Answer:

Greatest Common Factor of 5470 and 5475 = 5

Step 1: Find the prime factorization of 5470

5470 = 2 x 5 x 547

Step 2: Find the prime factorization of 5475

5475 = 3 x 5 x 5 x 73

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 5470 and 5475 is 5