Greatest Common Factor of 1413 and 1419

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 1413, 1419 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1413 and 1419 is 3.

GCF(1413,1419) = 3

GCF of 1413 and 1419

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

GCF of:
and

Greatest Common Factor of 1413 and 1419

GCF of 1413 and 1419 is 3

Prime Factorization of 1413


3 1413
3 471
157 157
1

Prime factors of 1413 are 3,157. Prime factorization of 1413 in exponential form is:

1413 = 32×1571

Prime Factorization of 1419


3 1419
11 473
43 43
1

Prime factors of 1419 are 3,11,43. Prime factorization of 1419 in exponential form is:

1419 = 31×111×431

∴ So by taking common prime factors GCF of 1413 and 1419 is 3

Greatest Common Factor of 1413 and 1419 by matching factors method

Factors of 1413

List of positive integer factors of 1413 that divides 1413 without a remainder.

1,3,9,157,471,1413

Factors of 1419

List of positive integer factors of 1419 that divides 1419 without a remainder.

1,3,11,33,43,129,473,1419

Greatest Common Factor

We found the factors and prime factorization of 1413 and 1419. The biggest common factor number is the GCF number.
So the greatest common factor 1413 and 1419 is 3.

Also check out the Least Common Multiple of 1413 and 1419

Properties of GCF 1413 and 1419

(i) The GCF of 1413 and 1419 is associative

GCF of 1413 and 1419 = GCF of 1419 and 1413

Related Greatest Common Factor of 1413

Related Greatest Common Factor of 1419

Frequently Asked Questions on GCF of 1413 and 1419

1. What is the GCF of 1413 and 1419?

Answer: GCF of 1413 and 1419 is 3.

2. What are the Factors of 1413?

Answer: Factors of 1413 are 1, 3, 9, 157, 471, 1413. There are 6 integers that are factors of 1413. The greatest factor of 1413 is 1413.

3. What are the Factors of 1419?

Answer: Factors of 1419 are 1, 3, 11, 33, 43, 129, 473, 1419. There are 8 integers that are factors of 1419. The greatest factor of 1419 is 1419.

4. How to Find the GCF of 1413 and 1419?

Answer:

Greatest Common Factor of 1413 and 1419 = 3

Step 1: Find the prime factorization of 1413

1413 = 3 x 3 x 157

Step 2: Find the prime factorization of 1419

1419 = 3 x 11 x 43

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 1413 and 1419 is 3