Greatest Common Factor of 5488 and 5494

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, 5494 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5488 and 5494 is 2.

GCF(5488,5494) = 2

GCF of 5488 and 5494

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

GCF of:
and

Greatest Common Factor of 5488 and 5494

GCF of 5488 and 5494 is 2

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 5494


2 5494
41 2747
67 67
1

Prime factors of 5494 are 2,41,67. Prime factorization of 5494 in exponential form is:

5494 = 21×411×671

∴ So by taking common prime factors GCF of 5488 and 5494 is 2

Greatest Common Factor of 5488 and 5494 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 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1,2,41,67,82,134,2747,5494

Greatest Common Factor

We found the factors and prime factorization of 5488 and 5494. The biggest common factor number is the GCF number.
So the greatest common factor 5488 and 5494 is 2.

Also check out the Least Common Multiple of 5488 and 5494

Properties of GCF 5488 and 5494

(i) The GCF of 5488 and 5494 is associative

GCF of 5488 and 5494 = GCF of 5494 and 5488

Related Greatest Common Factor of 5488

Related Greatest Common Factor of 5494

Frequently Asked Questions on GCF of 5488 and 5494

1. What is the GCF of 5488 and 5494?

Answer: GCF of 5488 and 5494 is 2.

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 5494?

Answer: Factors of 5494 are 1, 2, 41, 67, 82, 134, 2747, 5494. There are 8 integers that are factors of 5494. The greatest factor of 5494 is 5494.

4. How to Find the GCF of 5488 and 5494?

Answer:

Greatest Common Factor of 5488 and 5494 = 2

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 5494

5494 = 2 x 41 x 67

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 5488 and 5494 is 2