Greatest Common Factor of 421 and 429

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 421, 429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 421 and 429 is 1.

GCF(421,429) = 1

GCF of 421 and 429

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

GCF of:
and

Greatest Common Factor of 421 and 429

GCF of 421 and 429 is 1

Prime Factorization of 421


421 421
1

Prime factors of 421 are 421. Prime factorization of 421 in exponential form is:

421 = 4211

Prime Factorization of 429


3 429
11 143
13 13
1

Prime factors of 429 are 3.Prime factorization of 429 in exponential form is:

429 = 31×111×131

∴ So by taking common prime factors GCF of 421 and 429 is 1

Greatest Common Factor of 421 and 429 by matching factors method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors and prime factorization of 421 and 429. The biggest common factor number is the GCF number.
So the greatest common factor 421 and 429 is 1.

Also check out the Least Common Multiple of 421 and 429

Properties of GCF 421 and 429

(i) The GCF of 421 and 429 is associative

GCF of 421 and 429 = GCF of 429 and 421

Related Greatest Common Factor of 421

Related Greatest Common Factor of 429

Frequently Asked Questions on GCF of 421 and 429

1. What is the GCF of 421 and 429?

Answer: GCF of 421 and 429 is 1.

2. What are the Factors of 421?

Answer: Factors of 421 are 1, 421. There are 2 integers that are factors of 421. The greatest factor of 421 is 421.

3. What are the Factors of 429?

Answer: Factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429. There are 8 integers that are factors of 429. The greatest factor of 429 is 429.

4. How to Find the GCF of 421 and 429?

Answer:

Greatest Common Factor of 421 and 429 = 1

Step 1: Find the prime factorization of 421

421 = 421

Step 2: Find the prime factorization of 429

429 = 3 x 11 x 13

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 421 and 429 is 1