Greatest Common Factor of 5471 and 5478

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 5471, 5478 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5471 and 5478 is 1.

GCF(5471,5478) = 1

GCF of 5471 and 5478

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

GCF of:
and

Greatest Common Factor of 5471 and 5478

GCF of 5471 and 5478 is 1

Prime Factorization of 5471


5471 5471
1

Prime factors of 5471 are 5471. Prime factorization of 5471 in exponential form is:

5471 = 54711

Prime Factorization of 5478


2 5478
3 2739
11 913
83 83
1

Prime factors of 5478 are 2.Prime factorization of 5478 in exponential form is:

5478 = 21×31×111×831

∴ So by taking common prime factors GCF of 5471 and 5478 is 1

Greatest Common Factor of 5471 and 5478 by matching factors method

Factors of 5471

List of positive integer factors of 5471 that divides 5471 without a remainder.

1,5471

Factors of 5478

List of positive integer factors of 5478 that divides 5478 without a remainder.

1,2,3,6,11,22,33,66,83,166,249,498,913,1826,2739,5478

Greatest Common Factor

We found the factors and prime factorization of 5471 and 5478. The biggest common factor number is the GCF number.
So the greatest common factor 5471 and 5478 is 1.

Also check out the Least Common Multiple of 5471 and 5478

Properties of GCF 5471 and 5478

(i) The GCF of 5471 and 5478 is associative

GCF of 5471 and 5478 = GCF of 5478 and 5471

Frequently Asked Questions on GCF of 5471 and 5478

1. What is the GCF of 5471 and 5478?

Answer: GCF of 5471 and 5478 is 1.

2. What are the Factors of 5471?

Answer: Factors of 5471 are 1, 5471. There are 2 integers that are factors of 5471. The greatest factor of 5471 is 5471.

3. What are the Factors of 5478?

Answer: Factors of 5478 are 1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478. There are 16 integers that are factors of 5478. The greatest factor of 5478 is 5478.

4. How to Find the GCF of 5471 and 5478?

Answer:

Greatest Common Factor of 5471 and 5478 = 1

Step 1: Find the prime factorization of 5471

5471 = 5471

Step 2: Find the prime factorization of 5478

5478 = 2 x 3 x 11 x 83

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5471 and 5478 is 1