Greatest Common Factor of 423 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 423, 429 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 423 and 429 is 3.

GCF(423,429) = 3

GCF of 423 and 429

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

GCF of:
and

Greatest Common Factor of 423 and 429

GCF of 423 and 429 is 3

Prime Factorization of 423


3 423
3 141
47 47
1

Prime factors of 423 are 3,47. Prime factorization of 423 in exponential form is:

423 = 32×471

Prime Factorization of 429


3 429
11 143
13 13
1

Prime factors of 429 are 3,11,13. Prime factorization of 429 in exponential form is:

429 = 31×111×131

∴ So by taking common prime factors GCF of 423 and 429 is 3

Greatest Common Factor of 423 and 429 by matching factors method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

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 423 and 429. The biggest common factor number is the GCF number.
So the greatest common factor 423 and 429 is 3.

Also check out the Least Common Multiple of 423 and 429

Properties of GCF 423 and 429

(i) The GCF of 423 and 429 is associative

GCF of 423 and 429 = GCF of 429 and 423

Related Greatest Common Factor of 423

Related Greatest Common Factor of 429

Frequently Asked Questions on GCF of 423 and 429

1. What is the GCF of 423 and 429?

Answer: GCF of 423 and 429 is 3.

2. What are the Factors of 423?

Answer: Factors of 423 are 1, 3, 9, 47, 141, 423. There are 6 integers that are factors of 423. The greatest factor of 423 is 423.

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 423 and 429?

Answer:

Greatest Common Factor of 423 and 429 = 3

Step 1: Find the prime factorization of 423

423 = 3 x 3 x 47

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 = 3

Step 4: Therefore, the greatest common factor of 423 and 429 is 3