Greatest Common Factor of 1377 and 1383

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 1377, 1383 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1377 and 1383 is 3.

GCF(1377,1383) = 3

GCF of 1377 and 1383

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

GCF of:
and

Greatest Common Factor of 1377 and 1383

GCF of 1377 and 1383 is 3

Prime Factorization of 1377


3 1377
3 459
3 153
3 51
17 17
1

Prime factors of 1377 are 3,17. Prime factorization of 1377 in exponential form is:

1377 = 34×171

Prime Factorization of 1383


3 1383
461 461
1

Prime factors of 1383 are 3,461. Prime factorization of 1383 in exponential form is:

1383 = 31×4611

∴ So by taking common prime factors GCF of 1377 and 1383 is 3

Greatest Common Factor of 1377 and 1383 by matching factors method

Factors of 1377

List of positive integer factors of 1377 that divides 1377 without a remainder.

1,3,9,17,27,51,81,153,459,1377

Factors of 1383

List of positive integer factors of 1383 that divides 1383 without a remainder.

1,3,461,1383

Greatest Common Factor

We found the factors and prime factorization of 1377 and 1383. The biggest common factor number is the GCF number.
So the greatest common factor 1377 and 1383 is 3.

Also check out the Least Common Multiple of 1377 and 1383

Properties of GCF 1377 and 1383

(i) The GCF of 1377 and 1383 is associative

GCF of 1377 and 1383 = GCF of 1383 and 1377

Related Greatest Common Factor of 1377

Related Greatest Common Factor of 1383

Frequently Asked Questions on GCF of 1377 and 1383

1. What is the GCF of 1377 and 1383?

Answer: GCF of 1377 and 1383 is 3.

2. What are the Factors of 1377?

Answer: Factors of 1377 are 1, 3, 9, 17, 27, 51, 81, 153, 459, 1377. There are 10 integers that are factors of 1377. The greatest factor of 1377 is 1377.

3. What are the Factors of 1383?

Answer: Factors of 1383 are 1, 3, 461, 1383. There are 4 integers that are factors of 1383. The greatest factor of 1383 is 1383.

4. How to Find the GCF of 1377 and 1383?

Answer:

Greatest Common Factor of 1377 and 1383 = 3

Step 1: Find the prime factorization of 1377

1377 = 3 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 1383

1383 = 3 x 461

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 1377 and 1383 is 3