Greatest Common Factor of 5458 and 5464

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 5458, 5464 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5458 and 5464 is 2.

GCF(5458,5464) = 2

GCF of 5458 and 5464

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

GCF of:
and

Greatest Common Factor of 5458 and 5464

GCF of 5458 and 5464 is 2

Prime Factorization of 5458


2 5458
2729 2729
1

Prime factors of 5458 are 2,2729. Prime factorization of 5458 in exponential form is:

5458 = 21×27291

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

∴ So by taking common prime factors GCF of 5458 and 5464 is 2

Greatest Common Factor of 5458 and 5464 by matching factors method

Factors of 5458

List of positive integer factors of 5458 that divides 5458 without a remainder.

1,2,2729,5458

Factors of 5464

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

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

Greatest Common Factor

We found the factors and prime factorization of 5458 and 5464. The biggest common factor number is the GCF number.
So the greatest common factor 5458 and 5464 is 2.

Also check out the Least Common Multiple of 5458 and 5464

Properties of GCF 5458 and 5464

(i) The GCF of 5458 and 5464 is associative

GCF of 5458 and 5464 = GCF of 5464 and 5458

Related Greatest Common Factor of 5458

Related Greatest Common Factor of 5464

Frequently Asked Questions on GCF of 5458 and 5464

1. What is the GCF of 5458 and 5464?

Answer: GCF of 5458 and 5464 is 2.

2. What are the Factors of 5458?

Answer: Factors of 5458 are 1, 2, 2729, 5458. There are 4 integers that are factors of 5458. The greatest factor of 5458 is 5458.

3. 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.

4. How to Find the GCF of 5458 and 5464?

Answer:

Greatest Common Factor of 5458 and 5464 = 2

Step 1: Find the prime factorization of 5458

5458 = 2 x 2729

Step 2: Find the prime factorization of 5464

5464 = 2 x 2 x 2 x 683

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5458 and 5464 is 2