Greatest Common Factor of 1338 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 1338, 1340 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1338 and 1340 is 2.

GCF(1338,1340) = 2

GCF of 1338 and 1340

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

GCF of:
and

Greatest Common Factor of 1338 and 1340

GCF of 1338 and 1340 is 2

Prime Factorization of 1338


2 1338
3 669
223 223
1

Prime factors of 1338 are 2,3,223. Prime factorization of 1338 in exponential form is:

1338 = 21×31×2231

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 1338 and 1340 is 2

Greatest Common Factor of 1338 and 1340 by matching factors method

Factors of 1338

List of positive integer factors of 1338 that divides 1338 without a remainder.

1,2,3,6,223,446,669,1338

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 1338 and 1340. The biggest common factor number is the GCF number.
So the greatest common factor 1338 and 1340 is 2.

Also check out the Least Common Multiple of 1338 and 1340

Properties of GCF 1338 and 1340

(i) The GCF of 1338 and 1340 is associative

GCF of 1338 and 1340 = GCF of 1340 and 1338

Related Greatest Common Factor of 1338

Related Greatest Common Factor of 1340

Frequently Asked Questions on GCF of 1338 and 1340

1. What is the GCF of 1338 and 1340?

Answer: GCF of 1338 and 1340 is 2.

2. What are the Factors of 1338?

Answer: Factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338. There are 8 integers that are factors of 1338. The greatest factor of 1338 is 1338.

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 1338 and 1340?

Answer:

Greatest Common Factor of 1338 and 1340 = 2

Step 1: Find the prime factorization of 1338

1338 = 2 x 3 x 223

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 = 2

Step 4: Therefore, the greatest common factor of 1338 and 1340 is 2