Greatest Common Factor of 530 and 535

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 530, 535 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 530 and 535 is 5.

GCF(530,535) = 5

GCF of 530 and 535

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

GCF of:
and

Greatest Common Factor of 530 and 535

GCF of 530 and 535 is 5

Prime Factorization of 530


2 530
5 265
53 53
1

Prime factors of 530 are 2,5,53. Prime factorization of 530 in exponential form is:

530 = 21×51×531

Prime Factorization of 535


5 535
107 107
1

Prime factors of 535 are 5,107. Prime factorization of 535 in exponential form is:

535 = 51×1071

∴ So by taking common prime factors GCF of 530 and 535 is 5

Greatest Common Factor of 530 and 535 by matching factors method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors and prime factorization of 530 and 535. The biggest common factor number is the GCF number.
So the greatest common factor 530 and 535 is 5.

Also check out the Least Common Multiple of 530 and 535

Properties of GCF 530 and 535

(i) The GCF of 530 and 535 is associative

GCF of 530 and 535 = GCF of 535 and 530

Related Greatest Common Factor of 530

Related Greatest Common Factor of 535

Frequently Asked Questions on GCF of 530 and 535

1. What is the GCF of 530 and 535?

Answer: GCF of 530 and 535 is 5.

2. What are the Factors of 530?

Answer: Factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530. There are 8 integers that are factors of 530. The greatest factor of 530 is 530.

3. What are the Factors of 535?

Answer: Factors of 535 are 1, 5, 107, 535. There are 4 integers that are factors of 535. The greatest factor of 535 is 535.

4. How to Find the GCF of 530 and 535?

Answer:

Greatest Common Factor of 530 and 535 = 5

Step 1: Find the prime factorization of 530

530 = 2 x 5 x 53

Step 2: Find the prime factorization of 535

535 = 5 x 107

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 530 and 535 is 5