Greatest Common Factor of 5464 and 5471

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 5464, 5471 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5464 and 5471 is 1.

GCF(5464,5471) = 1

GCF of 5464 and 5471

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

GCF of:
and

Greatest Common Factor of 5464 and 5471

GCF of 5464 and 5471 is 1

Prime Factorization of 5464


2 5464
2 2732
2 1366
683 683
1

Prime factors of 5464 are 2,683. Prime factorization of 5464 in exponential form is:

5464 = 23×6831

Prime Factorization of 5471


5471 5471
1

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

5471 = 54711

∴ So by taking common prime factors GCF of 5464 and 5471 is 1

Greatest Common Factor of 5464 and 5471 by matching factors method

Factors of 5464

List of positive integer factors of 5464 that divides 5464 without a remainder.

1,2,4,8,683,1366,2732,5464

Factors of 5471

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

1,5471

Greatest Common Factor

We found the factors and prime factorization of 5464 and 5471. The biggest common factor number is the GCF number.
So the greatest common factor 5464 and 5471 is 1.

Also check out the Least Common Multiple of 5464 and 5471

Properties of GCF 5464 and 5471

(i) The GCF of 5464 and 5471 is associative

GCF of 5464 and 5471 = GCF of 5471 and 5464

Related Greatest Common Factor of 5464

Related Greatest Common Factor of 5471

Frequently Asked Questions on GCF of 5464 and 5471

1. What is the GCF of 5464 and 5471?

Answer: GCF of 5464 and 5471 is 1.

2. What are the Factors of 5464?

Answer: Factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464. There are 8 integers that are factors of 5464. The greatest factor of 5464 is 5464.

3. 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.

4. How to Find the GCF of 5464 and 5471?

Answer:

Greatest Common Factor of 5464 and 5471 = 1

Step 1: Find the prime factorization of 5464

5464 = 2 x 2 x 2 x 683

Step 2: Find the prime factorization of 5471

5471 = 5471

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 5464 and 5471 is 1