Greatest Common Factor of 5488 and 5492

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 5488, 5492 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5488 and 5492 is 4.

GCF(5488,5492) = 4

GCF of 5488 and 5492

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

GCF of:
and

Greatest Common Factor of 5488 and 5492

GCF of 5488 and 5492 is 4

Prime Factorization of 5488


2 5488
2 2744
2 1372
2 686
7 343
7 49
7 7
1

Prime factors of 5488 are 2,7. Prime factorization of 5488 in exponential form is:

5488 = 24×73

Prime Factorization of 5492


2 5492
2 2746
1373 1373
1

Prime factors of 5492 are 2,1373. Prime factorization of 5492 in exponential form is:

5492 = 22×13731

∴ So by taking common prime factors GCF of 5488 and 5492 is 4

Greatest Common Factor of 5488 and 5492 by matching factors method

Factors of 5488

List of positive integer factors of 5488 that divides 5488 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,343,392,686,784,1372,2744,5488

Factors of 5492

List of positive integer factors of 5492 that divides 5492 without a remainder.

1,2,4,1373,2746,5492

Greatest Common Factor

We found the factors and prime factorization of 5488 and 5492. The biggest common factor number is the GCF number.
So the greatest common factor 5488 and 5492 is 4.

Also check out the Least Common Multiple of 5488 and 5492

Properties of GCF 5488 and 5492

(i) The GCF of 5488 and 5492 is associative

GCF of 5488 and 5492 = GCF of 5492 and 5488

Related Greatest Common Factor of 5488

Related Greatest Common Factor of 5492

Frequently Asked Questions on GCF of 5488 and 5492

1. What is the GCF of 5488 and 5492?

Answer: GCF of 5488 and 5492 is 4.

2. What are the Factors of 5488?

Answer: Factors of 5488 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744, 5488. There are 20 integers that are factors of 5488. The greatest factor of 5488 is 5488.

3. What are the Factors of 5492?

Answer: Factors of 5492 are 1, 2, 4, 1373, 2746, 5492. There are 6 integers that are factors of 5492. The greatest factor of 5492 is 5492.

4. How to Find the GCF of 5488 and 5492?

Answer:

Greatest Common Factor of 5488 and 5492 = 4

Step 1: Find the prime factorization of 5488

5488 = 2 x 2 x 2 x 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 5492

5492 = 2 x 2 x 1373

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5488 and 5492 is 4