Greatest Common Factor of 429 and 433

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

Greatest common factor (GCF) of 429 and 433 is 1.

GCF(429,433) = 1

GCF of 429 and 433

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

GCF of:
and

Greatest Common Factor of 429 and 433

GCF of 429 and 433 is 1

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 433


433 433
1

Prime factors of 433 are 433. Prime factorization of 433 in exponential form is:

433 = 4331

∴ So by taking common prime factors GCF of 429 and 433 is 1

Greatest Common Factor of 429 and 433 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 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors and prime factorization of 429 and 433. The biggest common factor number is the GCF number.
So the greatest common factor 429 and 433 is 1.

Also check out the Least Common Multiple of 429 and 433

Properties of GCF 429 and 433

(i) The GCF of 429 and 433 is associative

GCF of 429 and 433 = GCF of 433 and 429

Related Greatest Common Factor of 429

Related Greatest Common Factor of 433

Frequently Asked Questions on GCF of 429 and 433

1. What is the GCF of 429 and 433?

Answer: GCF of 429 and 433 is 1.

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 433?

Answer: Factors of 433 are 1, 433. There are 2 integers that are factors of 433. The greatest factor of 433 is 433.

4. How to Find the GCF of 429 and 433?

Answer:

Greatest Common Factor of 429 and 433 = 1

Step 1: Find the prime factorization of 429

429 = 3 x 11 x 13

Step 2: Find the prime factorization of 433

433 = 433

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 429 and 433 is 1