Greatest Common Factor of 13350 and 13355

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 13350, 13355 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13350 and 13355 is 5.

GCF(13350,13355) = 5

GCF of 13350 and 13355

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

GCF of:
and

Greatest Common Factor of 13350 and 13355

GCF of 13350 and 13355 is 5

Prime Factorization of 13350


2 13350
3 6675
5 2225
5 445
89 89
1

Prime factors of 13350 are 2,3,5,89. Prime factorization of 13350 in exponential form is:

13350 = 21×31×52×891

Prime Factorization of 13355


5 13355
2671 2671
1

Prime factors of 13355 are 5,2671. Prime factorization of 13355 in exponential form is:

13355 = 51×26711

∴ So by taking common prime factors GCF of 13350 and 13355 is 5

Greatest Common Factor of 13350 and 13355 by matching factors method

Factors of 13350

List of positive integer factors of 13350 that divides 13350 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,89,150,178,267,445,534,890,1335,2225,2670,4450,6675,13350

Factors of 13355

List of positive integer factors of 13355 that divides 13355 without a remainder.

1,5,2671,13355

Greatest Common Factor

We found the factors and prime factorization of 13350 and 13355. The biggest common factor number is the GCF number.
So the greatest common factor 13350 and 13355 is 5.

Also check out the Least Common Multiple of 13350 and 13355

Properties of GCF 13350 and 13355

(i) The GCF of 13350 and 13355 is associative

GCF of 13350 and 13355 = GCF of 13355 and 13350

Related Greatest Common Factor of 13350

Related Greatest Common Factor of 13355

Frequently Asked Questions on GCF of 13350 and 13355

1. What is the GCF of 13350 and 13355?

Answer: GCF of 13350 and 13355 is 5.

2. What are the Factors of 13350?

Answer: Factors of 13350 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 89, 150, 178, 267, 445, 534, 890, 1335, 2225, 2670, 4450, 6675, 13350. There are 24 integers that are factors of 13350. The greatest factor of 13350 is 13350.

3. What are the Factors of 13355?

Answer: Factors of 13355 are 1, 5, 2671, 13355. There are 4 integers that are factors of 13355. The greatest factor of 13355 is 13355.

4. How to Find the GCF of 13350 and 13355?

Answer:

Greatest Common Factor of 13350 and 13355 = 5

Step 1: Find the prime factorization of 13350

13350 = 2 x 3 x 5 x 5 x 89

Step 2: Find the prime factorization of 13355

13355 = 5 x 2671

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 13350 and 13355 is 5