Greatest Common Factor of 1338 and 1342

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, 1342 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1338 and 1342 is 2.

GCF(1338,1342) = 2

GCF of 1338 and 1342

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

GCF of:
and

Greatest Common Factor of 1338 and 1342

GCF of 1338 and 1342 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 1342


2 1342
11 671
61 61
1

Prime factors of 1342 are 2,11,61. Prime factorization of 1342 in exponential form is:

1342 = 21×111×611

∴ So by taking common prime factors GCF of 1338 and 1342 is 2

Greatest Common Factor of 1338 and 1342 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 1342

List of positive integer factors of 1342 that divides 1342 without a remainder.

1,2,11,22,61,122,671,1342

Greatest Common Factor

We found the factors and prime factorization of 1338 and 1342. The biggest common factor number is the GCF number.
So the greatest common factor 1338 and 1342 is 2.

Also check out the Least Common Multiple of 1338 and 1342

Properties of GCF 1338 and 1342

(i) The GCF of 1338 and 1342 is associative

GCF of 1338 and 1342 = GCF of 1342 and 1338

Related Greatest Common Factor of 1338

Related Greatest Common Factor of 1342

Frequently Asked Questions on GCF of 1338 and 1342

1. What is the GCF of 1338 and 1342?

Answer: GCF of 1338 and 1342 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 1342?

Answer: Factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342. There are 8 integers that are factors of 1342. The greatest factor of 1342 is 1342.

4. How to Find the GCF of 1338 and 1342?

Answer:

Greatest Common Factor of 1338 and 1342 = 2

Step 1: Find the prime factorization of 1338

1338 = 2 x 3 x 223

Step 2: Find the prime factorization of 1342

1342 = 2 x 11 x 61

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 1342 is 2