Greatest Common Factor of 5335 and 5340

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 5335, 5340 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5335 and 5340 is 5.

GCF(5335,5340) = 5

GCF of 5335 and 5340

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

GCF of:
and

Greatest Common Factor of 5335 and 5340

GCF of 5335 and 5340 is 5

Prime Factorization of 5335


5 5335
11 1067
97 97
1

Prime factors of 5335 are 5,11,97. Prime factorization of 5335 in exponential form is:

5335 = 51×111×971

Prime Factorization of 5340


2 5340
2 2670
3 1335
5 445
89 89
1

Prime factors of 5340 are 2,3,5,89. Prime factorization of 5340 in exponential form is:

5340 = 22×31×51×891

∴ So by taking common prime factors GCF of 5335 and 5340 is 5

Greatest Common Factor of 5335 and 5340 by matching factors method

Factors of 5335

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

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

Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340

Greatest Common Factor

We found the factors and prime factorization of 5335 and 5340. The biggest common factor number is the GCF number.
So the greatest common factor 5335 and 5340 is 5.

Also check out the Least Common Multiple of 5335 and 5340

Properties of GCF 5335 and 5340

(i) The GCF of 5335 and 5340 is associative

GCF of 5335 and 5340 = GCF of 5340 and 5335

Related Greatest Common Factor of 5335

Related Greatest Common Factor of 5340

Frequently Asked Questions on GCF of 5335 and 5340

1. What is the GCF of 5335 and 5340?

Answer: GCF of 5335 and 5340 is 5.

2. 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.

3. What are the Factors of 5340?

Answer: Factors of 5340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 89, 178, 267, 356, 445, 534, 890, 1068, 1335, 1780, 2670, 5340. There are 24 integers that are factors of 5340. The greatest factor of 5340 is 5340.

4. How to Find the GCF of 5335 and 5340?

Answer:

Greatest Common Factor of 5335 and 5340 = 5

Step 1: Find the prime factorization of 5335

5335 = 5 x 11 x 97

Step 2: Find the prime factorization of 5340

5340 = 2 x 2 x 3 x 5 x 89

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 5335 and 5340 is 5