Greatest Common Factor of 429 and 432

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 429, 432 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 429 and 432 is 3.

GCF(429,432) = 3

GCF of 429 and 432

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

GCF of:
and

Greatest Common Factor of 429 and 432

GCF of 429 and 432 is 3

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

Prime Factorization of 432


2 432
2 216
2 108
2 54
3 27
3 9
3 3
1

Prime factors of 432 are 2,3. Prime factorization of 432 in exponential form is:

432 = 24×33

∴ So by taking common prime factors GCF of 429 and 432 is 3

Greatest Common Factor of 429 and 432 by matching factors method

Factors of 429

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

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

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors and prime factorization of 429 and 432. The biggest common factor number is the GCF number.
So the greatest common factor 429 and 432 is 3.

Also check out the Least Common Multiple of 429 and 432

Properties of GCF 429 and 432

(i) The GCF of 429 and 432 is associative

GCF of 429 and 432 = GCF of 432 and 429

Related Greatest Common Factor of 429

Related Greatest Common Factor of 432

Frequently Asked Questions on GCF of 429 and 432

1. What is the GCF of 429 and 432?

Answer: GCF of 429 and 432 is 3.

2. 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.

3. What are the Factors of 432?

Answer: Factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432. There are 20 integers that are factors of 432. The greatest factor of 432 is 432.

4. How to Find the GCF of 429 and 432?

Answer:

Greatest Common Factor of 429 and 432 = 3

Step 1: Find the prime factorization of 429

429 = 3 x 11 x 13

Step 2: Find the prime factorization of 432

432 = 2 x 2 x 2 x 2 x 3 x 3 x 3

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 429 and 432 is 3