Greatest Common Factor of 1341 and 1347

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 1341, 1347 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1341 and 1347 is 3.

GCF(1341,1347) = 3

GCF of 1341 and 1347

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

GCF of:
and

Greatest Common Factor of 1341 and 1347

GCF of 1341 and 1347 is 3

Prime Factorization of 1341


3 1341
3 447
149 149
1

Prime factors of 1341 are 3,149. Prime factorization of 1341 in exponential form is:

1341 = 32×1491

Prime Factorization of 1347


3 1347
449 449
1

Prime factors of 1347 are 3,449. Prime factorization of 1347 in exponential form is:

1347 = 31×4491

∴ So by taking common prime factors GCF of 1341 and 1347 is 3

Greatest Common Factor of 1341 and 1347 by matching factors method

Factors of 1341

List of positive integer factors of 1341 that divides 1341 without a remainder.

1,3,9,149,447,1341

Factors of 1347

List of positive integer factors of 1347 that divides 1347 without a remainder.

1,3,449,1347

Greatest Common Factor

We found the factors and prime factorization of 1341 and 1347. The biggest common factor number is the GCF number.
So the greatest common factor 1341 and 1347 is 3.

Also check out the Least Common Multiple of 1341 and 1347

Properties of GCF 1341 and 1347

(i) The GCF of 1341 and 1347 is associative

GCF of 1341 and 1347 = GCF of 1347 and 1341

Related Greatest Common Factor of 1341

Related Greatest Common Factor of 1347

Frequently Asked Questions on GCF of 1341 and 1347

1. What is the GCF of 1341 and 1347?

Answer: GCF of 1341 and 1347 is 3.

2. What are the Factors of 1341?

Answer: Factors of 1341 are 1, 3, 9, 149, 447, 1341. There are 6 integers that are factors of 1341. The greatest factor of 1341 is 1341.

3. What are the Factors of 1347?

Answer: Factors of 1347 are 1, 3, 449, 1347. There are 4 integers that are factors of 1347. The greatest factor of 1347 is 1347.

4. How to Find the GCF of 1341 and 1347?

Answer:

Greatest Common Factor of 1341 and 1347 = 3

Step 1: Find the prime factorization of 1341

1341 = 3 x 3 x 149

Step 2: Find the prime factorization of 1347

1347 = 3 x 449

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 1341 and 1347 is 3