Greatest Common Factor of 8428 and 8435

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, 8435 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8428 and 8435 is 7.

GCF(8428,8435) = 7

GCF of 8428 and 8435

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

GCF of:
and

Greatest Common Factor of 8428 and 8435

GCF of 8428 and 8435 is 7

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 8435


5 8435
7 1687
241 241
1

Prime factors of 8435 are 5,7,241. Prime factorization of 8435 in exponential form is:

8435 = 51×71×2411

∴ So by taking common prime factors GCF of 8428 and 8435 is 7

Greatest Common Factor of 8428 and 8435 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 8435

List of positive integer factors of 8435 that divides 8435 without a remainder.

1,5,7,35,241,1205,1687,8435

Greatest Common Factor

We found the factors and prime factorization of 8428 and 8435. The biggest common factor number is the GCF number.
So the greatest common factor 8428 and 8435 is 7.

Also check out the Least Common Multiple of 8428 and 8435

Properties of GCF 8428 and 8435

(i) The GCF of 8428 and 8435 is associative

GCF of 8428 and 8435 = GCF of 8435 and 8428

Related Greatest Common Factor of 8428

Related Greatest Common Factor of 8435

Frequently Asked Questions on GCF of 8428 and 8435

1. What is the GCF of 8428 and 8435?

Answer: GCF of 8428 and 8435 is 7.

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 8435?

Answer: Factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435. There are 8 integers that are factors of 8435. The greatest factor of 8435 is 8435.

4. How to Find the GCF of 8428 and 8435?

Answer:

Greatest Common Factor of 8428 and 8435 = 7

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 8435

8435 = 5 x 7 x 241

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 8428 and 8435 is 7