Greatest Common Factor of 8429 and 8432

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 8429, 8432 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8429 and 8432 is 1.

GCF(8429,8432) = 1

GCF of 8429 and 8432

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

GCF of:
and

Greatest Common Factor of 8429 and 8432

GCF of 8429 and 8432 is 1

Prime Factorization of 8429


8429 8429
1

Prime factors of 8429 are 8429. Prime factorization of 8429 in exponential form is:

8429 = 84291

Prime Factorization of 8432


2 8432
2 4216
2 2108
2 1054
17 527
31 31
1

Prime factors of 8432 are 2.Prime factorization of 8432 in exponential form is:

8432 = 24×171×311

∴ So by taking common prime factors GCF of 8429 and 8432 is 1

Greatest Common Factor of 8429 and 8432 by matching factors method

Factors of 8429

List of positive integer factors of 8429 that divides 8429 without a remainder.

1,8429

Factors of 8432

List of positive integer factors of 8432 that divides 8432 without a remainder.

1,2,4,8,16,17,31,34,62,68,124,136,248,272,496,527,1054,2108,4216,8432

Greatest Common Factor

We found the factors and prime factorization of 8429 and 8432. The biggest common factor number is the GCF number.
So the greatest common factor 8429 and 8432 is 1.

Also check out the Least Common Multiple of 8429 and 8432

Properties of GCF 8429 and 8432

(i) The GCF of 8429 and 8432 is associative

GCF of 8429 and 8432 = GCF of 8432 and 8429

Related Greatest Common Factor of 8429

Related Greatest Common Factor of 8432

Frequently Asked Questions on GCF of 8429 and 8432

1. What is the GCF of 8429 and 8432?

Answer: GCF of 8429 and 8432 is 1.

2. What are the Factors of 8429?

Answer: Factors of 8429 are 1, 8429. There are 2 integers that are factors of 8429. The greatest factor of 8429 is 8429.

3. What are the Factors of 8432?

Answer: Factors of 8432 are 1, 2, 4, 8, 16, 17, 31, 34, 62, 68, 124, 136, 248, 272, 496, 527, 1054, 2108, 4216, 8432. There are 20 integers that are factors of 8432. The greatest factor of 8432 is 8432.

4. How to Find the GCF of 8429 and 8432?

Answer:

Greatest Common Factor of 8429 and 8432 = 1

Step 1: Find the prime factorization of 8429

8429 = 8429

Step 2: Find the prime factorization of 8432

8432 = 2 x 2 x 2 x 2 x 17 x 31

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 8429 and 8432 is 1