Greatest Common Factor of 5329 and 5335

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 5329, 5335 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5329 and 5335 is 1.

GCF(5329,5335) = 1

GCF of 5329 and 5335

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

GCF of:
and

Greatest Common Factor of 5329 and 5335

GCF of 5329 and 5335 is 1

Prime Factorization of 5329


73 5329
73 73
1

Prime factors of 5329 are 73. Prime factorization of 5329 in exponential form is:

5329 = 732

Prime Factorization of 5335


5 5335
11 1067
97 97
1

Prime factors of 5335 are 5.Prime factorization of 5335 in exponential form is:

5335 = 51×111×971

∴ So by taking common prime factors GCF of 5329 and 5335 is 1

Greatest Common Factor of 5329 and 5335 by matching factors method

Factors of 5329

List of positive integer factors of 5329 that divides 5329 without a remainder.

1,73,5329

Factors of 5335

List of positive integer factors of 5335 that divides 5335 without a remainder.

1,5,11,55,97,485,1067,5335

Greatest Common Factor

We found the factors and prime factorization of 5329 and 5335. The biggest common factor number is the GCF number.
So the greatest common factor 5329 and 5335 is 1.

Also check out the Least Common Multiple of 5329 and 5335

Properties of GCF 5329 and 5335

(i) The GCF of 5329 and 5335 is associative

GCF of 5329 and 5335 = GCF of 5335 and 5329

Related Greatest Common Factor of 5329

Related Greatest Common Factor of 5335

Frequently Asked Questions on GCF of 5329 and 5335

1. What is the GCF of 5329 and 5335?

Answer: GCF of 5329 and 5335 is 1.

2. What are the Factors of 5329?

Answer: Factors of 5329 are 1, 73, 5329. There are 3 integers that are factors of 5329. The greatest factor of 5329 is 5329.

3. What are the Factors of 5335?

Answer: Factors of 5335 are 1, 5, 11, 55, 97, 485, 1067, 5335. There are 8 integers that are factors of 5335. The greatest factor of 5335 is 5335.

4. How to Find the GCF of 5329 and 5335?

Answer:

Greatest Common Factor of 5329 and 5335 = 1

Step 1: Find the prime factorization of 5329

5329 = 73 x 73

Step 2: Find the prime factorization of 5335

5335 = 5 x 11 x 97

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 5329 and 5335 is 1