Greatest Common Factor of 8424 and 8426

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 8424, 8426 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8424 and 8426 is 2.

GCF(8424,8426) = 2

GCF of 8424 and 8426

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

GCF of:
and

Greatest Common Factor of 8424 and 8426

GCF of 8424 and 8426 is 2

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

Prime Factorization of 8426


2 8426
11 4213
383 383
1

Prime factors of 8426 are 2,11,383. Prime factorization of 8426 in exponential form is:

8426 = 21×111×3831

∴ So by taking common prime factors GCF of 8424 and 8426 is 2

Greatest Common Factor of 8424 and 8426 by matching factors method

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

Factors of 8426

List of positive integer factors of 8426 that divides 8426 without a remainder.

1,2,11,22,383,766,4213,8426

Greatest Common Factor

We found the factors and prime factorization of 8424 and 8426. The biggest common factor number is the GCF number.
So the greatest common factor 8424 and 8426 is 2.

Also check out the Least Common Multiple of 8424 and 8426

Properties of GCF 8424 and 8426

(i) The GCF of 8424 and 8426 is associative

GCF of 8424 and 8426 = GCF of 8426 and 8424

Related Greatest Common Factor of 8424

Related Greatest Common Factor of 8426

Frequently Asked Questions on GCF of 8424 and 8426

1. What is the GCF of 8424 and 8426?

Answer: GCF of 8424 and 8426 is 2.

2. 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.

3. What are the Factors of 8426?

Answer: Factors of 8426 are 1, 2, 11, 22, 383, 766, 4213, 8426. There are 8 integers that are factors of 8426. The greatest factor of 8426 is 8426.

4. How to Find the GCF of 8424 and 8426?

Answer:

Greatest Common Factor of 8424 and 8426 = 2

Step 1: Find the prime factorization of 8424

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

Step 2: Find the prime factorization of 8426

8426 = 2 x 11 x 383

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8424 and 8426 is 2