Greatest Common Factor of 1419 and 1421

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 1419, 1421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1419 and 1421 is 1.

GCF(1419,1421) = 1

GCF of 1419 and 1421

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

GCF of:
and

Greatest Common Factor of 1419 and 1421

GCF of 1419 and 1421 is 1

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

Prime Factorization of 1421


7 1421
7 203
29 29
1

Prime factors of 1421 are 7,29. Prime factorization of 1421 in exponential form is:

1421 = 72×291

∴ So by taking common prime factors GCF of 1419 and 1421 is 1

Greatest Common Factor of 1419 and 1421 by matching factors method

Factors of 1419

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

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

Factors of 1421

List of positive integer factors of 1421 that divides 1421 without a remainder.

1,7,29,49,203,1421

Greatest Common Factor

We found the factors and prime factorization of 1419 and 1421. The biggest common factor number is the GCF number.
So the greatest common factor 1419 and 1421 is 1.

Also check out the Least Common Multiple of 1419 and 1421

Properties of GCF 1419 and 1421

(i) The GCF of 1419 and 1421 is associative

GCF of 1419 and 1421 = GCF of 1421 and 1419

Related Greatest Common Factor of 1419

Related Greatest Common Factor of 1421

Frequently Asked Questions on GCF of 1419 and 1421

1. What is the GCF of 1419 and 1421?

Answer: GCF of 1419 and 1421 is 1.

2. 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.

3. What are the Factors of 1421?

Answer: Factors of 1421 are 1, 7, 29, 49, 203, 1421. There are 6 integers that are factors of 1421. The greatest factor of 1421 is 1421.

4. How to Find the GCF of 1419 and 1421?

Answer:

Greatest Common Factor of 1419 and 1421 = 1

Step 1: Find the prime factorization of 1419

1419 = 3 x 11 x 43

Step 2: Find the prime factorization of 1421

1421 = 7 x 7 x 29

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1419 and 1421 is 1