Greatest Common Factor of 8420 and 8424

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, 8424 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8420 and 8424 is 4.

GCF(8420,8424) = 4

GCF of 8420 and 8424

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

GCF of:
and

Greatest Common Factor of 8420 and 8424

GCF of 8420 and 8424 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 8424


2 8424
2 4212
2 2106
3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 8424 are 2,3,13. Prime factorization of 8424 in exponential form is:

8424 = 23×34×131

∴ So by taking common prime factors GCF of 8420 and 8424 is 4

Greatest Common Factor of 8420 and 8424 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 8424

List of positive integer factors of 8424 that divides 8424 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424

Greatest Common Factor

We found the factors and prime factorization of 8420 and 8424. The biggest common factor number is the GCF number.
So the greatest common factor 8420 and 8424 is 4.

Also check out the Least Common Multiple of 8420 and 8424

Properties of GCF 8420 and 8424

(i) The GCF of 8420 and 8424 is associative

GCF of 8420 and 8424 = GCF of 8424 and 8420

Related Greatest Common Factor of 8420

Related Greatest Common Factor of 8424

Frequently Asked Questions on GCF of 8420 and 8424

1. What is the GCF of 8420 and 8424?

Answer: GCF of 8420 and 8424 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 8424?

Answer: Factors of 8424 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 312, 324, 351, 468, 648, 702, 936, 1053, 1404, 2106, 2808, 4212, 8424. There are 40 integers that are factors of 8424. The greatest factor of 8424 is 8424.

4. How to Find the GCF of 8420 and 8424?

Answer:

Greatest Common Factor of 8420 and 8424 = 4

Step 1: Find the prime factorization of 8420

8420 = 2 x 2 x 5 x 421

Step 2: Find the prime factorization of 8424

8424 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 13

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 8424 is 4