Greatest Common Factor of 5430 and 5435

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 5430, 5435 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5430 and 5435 is 5.

GCF(5430,5435) = 5

GCF of 5430 and 5435

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

GCF of:
and

Greatest Common Factor of 5430 and 5435

GCF of 5430 and 5435 is 5

Prime Factorization of 5430


2 5430
3 2715
5 905
181 181
1

Prime factors of 5430 are 2,3,5,181. Prime factorization of 5430 in exponential form is:

5430 = 21×31×51×1811

Prime Factorization of 5435


5 5435
1087 1087
1

Prime factors of 5435 are 5,1087. Prime factorization of 5435 in exponential form is:

5435 = 51×10871

∴ So by taking common prime factors GCF of 5430 and 5435 is 5

Greatest Common Factor of 5430 and 5435 by matching factors method

Factors of 5430

List of positive integer factors of 5430 that divides 5430 without a remainder.

1,2,3,5,6,10,15,30,181,362,543,905,1086,1810,2715,5430

Factors of 5435

List of positive integer factors of 5435 that divides 5435 without a remainder.

1,5,1087,5435

Greatest Common Factor

We found the factors and prime factorization of 5430 and 5435. The biggest common factor number is the GCF number.
So the greatest common factor 5430 and 5435 is 5.

Also check out the Least Common Multiple of 5430 and 5435

Properties of GCF 5430 and 5435

(i) The GCF of 5430 and 5435 is associative

GCF of 5430 and 5435 = GCF of 5435 and 5430

Related Greatest Common Factor of 5430

Related Greatest Common Factor of 5435

Frequently Asked Questions on GCF of 5430 and 5435

1. What is the GCF of 5430 and 5435?

Answer: GCF of 5430 and 5435 is 5.

2. What are the Factors of 5430?

Answer: Factors of 5430 are 1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430. There are 16 integers that are factors of 5430. The greatest factor of 5430 is 5430.

3. What are the Factors of 5435?

Answer: Factors of 5435 are 1, 5, 1087, 5435. There are 4 integers that are factors of 5435. The greatest factor of 5435 is 5435.

4. How to Find the GCF of 5430 and 5435?

Answer:

Greatest Common Factor of 5430 and 5435 = 5

Step 1: Find the prime factorization of 5430

5430 = 2 x 3 x 5 x 181

Step 2: Find the prime factorization of 5435

5435 = 5 x 1087

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

GCF = 5

Step 4: Therefore, the greatest common factor of 5430 and 5435 is 5