Greatest Common Factor of 1335 and 1340

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 1335, 1340 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1335 and 1340 is 5.

GCF(1335,1340) = 5

GCF of 1335 and 1340

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

GCF of:
and

Greatest Common Factor of 1335 and 1340

GCF of 1335 and 1340 is 5

Prime Factorization of 1335


3 1335
5 445
89 89
1

Prime factors of 1335 are 3,5,89. Prime factorization of 1335 in exponential form is:

1335 = 31×51×891

Prime Factorization of 1340


2 1340
2 670
5 335
67 67
1

Prime factors of 1340 are 2,5,67. Prime factorization of 1340 in exponential form is:

1340 = 22×51×671

∴ So by taking common prime factors GCF of 1335 and 1340 is 5

Greatest Common Factor of 1335 and 1340 by matching factors method

Factors of 1335

List of positive integer factors of 1335 that divides 1335 without a remainder.

1,3,5,15,89,267,445,1335

Factors of 1340

List of positive integer factors of 1340 that divides 1340 without a remainder.

1,2,4,5,10,20,67,134,268,335,670,1340

Greatest Common Factor

We found the factors and prime factorization of 1335 and 1340. The biggest common factor number is the GCF number.
So the greatest common factor 1335 and 1340 is 5.

Also check out the Least Common Multiple of 1335 and 1340

Properties of GCF 1335 and 1340

(i) The GCF of 1335 and 1340 is associative

GCF of 1335 and 1340 = GCF of 1340 and 1335

Related Greatest Common Factor of 1335

Related Greatest Common Factor of 1340

Frequently Asked Questions on GCF of 1335 and 1340

1. What is the GCF of 1335 and 1340?

Answer: GCF of 1335 and 1340 is 5.

2. What are the Factors of 1335?

Answer: Factors of 1335 are 1, 3, 5, 15, 89, 267, 445, 1335. There are 8 integers that are factors of 1335. The greatest factor of 1335 is 1335.

3. What are the Factors of 1340?

Answer: Factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340. There are 12 integers that are factors of 1340. The greatest factor of 1340 is 1340.

4. How to Find the GCF of 1335 and 1340?

Answer:

Greatest Common Factor of 1335 and 1340 = 5

Step 1: Find the prime factorization of 1335

1335 = 3 x 5 x 89

Step 2: Find the prime factorization of 1340

1340 = 2 x 2 x 5 x 67

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 1335 and 1340 is 5