Greatest Common Factor of 5398 and 5402

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 5398, 5402 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5398 and 5402 is 2.

GCF(5398,5402) = 2

GCF of 5398 and 5402

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

GCF of:
and

Greatest Common Factor of 5398 and 5402

GCF of 5398 and 5402 is 2

Prime Factorization of 5398


2 5398
2699 2699
1

Prime factors of 5398 are 2,2699. Prime factorization of 5398 in exponential form is:

5398 = 21×26991

Prime Factorization of 5402


2 5402
37 2701
73 73
1

Prime factors of 5402 are 2,37,73. Prime factorization of 5402 in exponential form is:

5402 = 21×371×731

∴ So by taking common prime factors GCF of 5398 and 5402 is 2

Greatest Common Factor of 5398 and 5402 by matching factors method

Factors of 5398

List of positive integer factors of 5398 that divides 5398 without a remainder.

1,2,2699,5398

Factors of 5402

List of positive integer factors of 5402 that divides 5402 without a remainder.

1,2,37,73,74,146,2701,5402

Greatest Common Factor

We found the factors and prime factorization of 5398 and 5402. The biggest common factor number is the GCF number.
So the greatest common factor 5398 and 5402 is 2.

Also check out the Least Common Multiple of 5398 and 5402

Properties of GCF 5398 and 5402

(i) The GCF of 5398 and 5402 is associative

GCF of 5398 and 5402 = GCF of 5402 and 5398

Related Greatest Common Factor of 5398

Related Greatest Common Factor of 5402

Frequently Asked Questions on GCF of 5398 and 5402

1. What is the GCF of 5398 and 5402?

Answer: GCF of 5398 and 5402 is 2.

2. What are the Factors of 5398?

Answer: Factors of 5398 are 1, 2, 2699, 5398. There are 4 integers that are factors of 5398. The greatest factor of 5398 is 5398.

3. What are the Factors of 5402?

Answer: Factors of 5402 are 1, 2, 37, 73, 74, 146, 2701, 5402. There are 8 integers that are factors of 5402. The greatest factor of 5402 is 5402.

4. How to Find the GCF of 5398 and 5402?

Answer:

Greatest Common Factor of 5398 and 5402 = 2

Step 1: Find the prime factorization of 5398

5398 = 2 x 2699

Step 2: Find the prime factorization of 5402

5402 = 2 x 37 x 73

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 5398 and 5402 is 2