Greatest Common Factor of 8428 and 8429

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 8428, 8429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8428 and 8429 is 1.

GCF(8428,8429) = 1

GCF of 8428 and 8429

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

GCF of:
and

Greatest Common Factor of 8428 and 8429

GCF of 8428 and 8429 is 1

Prime Factorization of 8428


2 8428
2 4214
7 2107
7 301
43 43
1

Prime factors of 8428 are 2,7,43. Prime factorization of 8428 in exponential form is:

8428 = 22×72×431

Prime Factorization of 8429


8429 8429
1

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

8429 = 84291

∴ So by taking common prime factors GCF of 8428 and 8429 is 1

Greatest Common Factor of 8428 and 8429 by matching factors method

Factors of 8428

List of positive integer factors of 8428 that divides 8428 without a remainder.

1,2,4,7,14,28,43,49,86,98,172,196,301,602,1204,2107,4214,8428

Factors of 8429

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

1,8429

Greatest Common Factor

We found the factors and prime factorization of 8428 and 8429. The biggest common factor number is the GCF number.
So the greatest common factor 8428 and 8429 is 1.

Also check out the Least Common Multiple of 8428 and 8429

Properties of GCF 8428 and 8429

(i) The GCF of 8428 and 8429 is associative

GCF of 8428 and 8429 = GCF of 8429 and 8428

Related Greatest Common Factor of 8428

Related Greatest Common Factor of 8429

Frequently Asked Questions on GCF of 8428 and 8429

1. What is the GCF of 8428 and 8429?

Answer: GCF of 8428 and 8429 is 1.

2. What are the Factors of 8428?

Answer: Factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428. There are 18 integers that are factors of 8428. The greatest factor of 8428 is 8428.

3. 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.

4. How to Find the GCF of 8428 and 8429?

Answer:

Greatest Common Factor of 8428 and 8429 = 1

Step 1: Find the prime factorization of 8428

8428 = 2 x 2 x 7 x 7 x 43

Step 2: Find the prime factorization of 8429

8429 = 8429

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 8428 and 8429 is 1