Greatest Common Factor of 16429 and 16435

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 16429, 16435 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16429 and 16435 is 1.

GCF(16429,16435) = 1

GCF of 16429 and 16435

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

GCF of:
and

Greatest Common Factor of 16429 and 16435

GCF of 16429 and 16435 is 1

Prime Factorization of 16429


7 16429
2347 2347
1

Prime factors of 16429 are 7,2347. Prime factorization of 16429 in exponential form is:

16429 = 71×23471

Prime Factorization of 16435


5 16435
19 3287
173 173
1

Prime factors of 16435 are 5,19,173. Prime factorization of 16435 in exponential form is:

16435 = 51×191×1731

∴ So by taking common prime factors GCF of 16429 and 16435 is 1

Greatest Common Factor of 16429 and 16435 by matching factors method

Factors of 16429

List of positive integer factors of 16429 that divides 16429 without a remainder.

1,7,2347,16429

Factors of 16435

List of positive integer factors of 16435 that divides 16435 without a remainder.

1,5,19,95,173,865,3287,16435

Greatest Common Factor

We found the factors and prime factorization of 16429 and 16435. The biggest common factor number is the GCF number.
So the greatest common factor 16429 and 16435 is 1.

Also check out the Least Common Multiple of 16429 and 16435

Properties of GCF 16429 and 16435

(i) The GCF of 16429 and 16435 is associative

GCF of 16429 and 16435 = GCF of 16435 and 16429

Related Greatest Common Factor of 16429

Related Greatest Common Factor of 16435

Frequently Asked Questions on GCF of 16429 and 16435

1. What is the GCF of 16429 and 16435?

Answer: GCF of 16429 and 16435 is 1.

2. What are the Factors of 16429?

Answer: Factors of 16429 are 1, 7, 2347, 16429. There are 4 integers that are factors of 16429. The greatest factor of 16429 is 16429.

3. What are the Factors of 16435?

Answer: Factors of 16435 are 1, 5, 19, 95, 173, 865, 3287, 16435. There are 8 integers that are factors of 16435. The greatest factor of 16435 is 16435.

4. How to Find the GCF of 16429 and 16435?

Answer:

Greatest Common Factor of 16429 and 16435 = 1

Step 1: Find the prime factorization of 16429

16429 = 7 x 2347

Step 2: Find the prime factorization of 16435

16435 = 5 x 19 x 173

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 16429 and 16435 is 1