Greatest Common Factor of 5402 and 5403

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 5402, 5403 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5402 and 5403 is 1.

GCF(5402,5403) = 1

GCF of 5402 and 5403

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

GCF of:
and

Greatest Common Factor of 5402 and 5403

GCF of 5402 and 5403 is 1

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

Prime Factorization of 5403


3 5403
1801 1801
1

Prime factors of 5403 are 3,1801. Prime factorization of 5403 in exponential form is:

5403 = 31×18011

∴ So by taking common prime factors GCF of 5402 and 5403 is 1

Greatest Common Factor of 5402 and 5403 by matching factors method

Factors of 5402

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

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

Factors of 5403

List of positive integer factors of 5403 that divides 5403 without a remainder.

1,3,1801,5403

Greatest Common Factor

We found the factors and prime factorization of 5402 and 5403. The biggest common factor number is the GCF number.
So the greatest common factor 5402 and 5403 is 1.

Also check out the Least Common Multiple of 5402 and 5403

Properties of GCF 5402 and 5403

(i) The GCF of 5402 and 5403 is associative

GCF of 5402 and 5403 = GCF of 5403 and 5402

Frequently Asked Questions on GCF of 5402 and 5403

1. What is the GCF of 5402 and 5403?

Answer: GCF of 5402 and 5403 is 1.

2. 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.

3. What are the Factors of 5403?

Answer: Factors of 5403 are 1, 3, 1801, 5403. There are 4 integers that are factors of 5403. The greatest factor of 5403 is 5403.

4. How to Find the GCF of 5402 and 5403?

Answer:

Greatest Common Factor of 5402 and 5403 = 1

Step 1: Find the prime factorization of 5402

5402 = 2 x 37 x 73

Step 2: Find the prime factorization of 5403

5403 = 3 x 1801

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 5402 and 5403 is 1