Greatest Common Factor of 8420 and 8428

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 8420, 8428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8420 and 8428 is 4.

GCF(8420,8428) = 4

GCF of 8420 and 8428

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

GCF of:
and

Greatest Common Factor of 8420 and 8428

GCF of 8420 and 8428 is 4

Prime Factorization of 8420


2 8420
2 4210
5 2105
421 421
1

Prime factors of 8420 are 2,5,421. Prime factorization of 8420 in exponential form is:

8420 = 22×51×4211

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

∴ So by taking common prime factors GCF of 8420 and 8428 is 4

Greatest Common Factor of 8420 and 8428 by matching factors method

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1,2,4,5,10,20,421,842,1684,2105,4210,8420

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

Greatest Common Factor

We found the factors and prime factorization of 8420 and 8428. The biggest common factor number is the GCF number.
So the greatest common factor 8420 and 8428 is 4.

Also check out the Least Common Multiple of 8420 and 8428

Properties of GCF 8420 and 8428

(i) The GCF of 8420 and 8428 is associative

GCF of 8420 and 8428 = GCF of 8428 and 8420

Related Greatest Common Factor of 8420

Related Greatest Common Factor of 8428

Frequently Asked Questions on GCF of 8420 and 8428

1. What is the GCF of 8420 and 8428?

Answer: GCF of 8420 and 8428 is 4.

2. What are the Factors of 8420?

Answer: Factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420. There are 12 integers that are factors of 8420. The greatest factor of 8420 is 8420.

3. 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.

4. How to Find the GCF of 8420 and 8428?

Answer:

Greatest Common Factor of 8420 and 8428 = 4

Step 1: Find the prime factorization of 8420

8420 = 2 x 2 x 5 x 421

Step 2: Find the prime factorization of 8428

8428 = 2 x 2 x 7 x 7 x 43

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8420 and 8428 is 4