Greatest Common Factor of 8280 and 8284

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 8280, 8284 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8280 and 8284 is 4.

GCF(8280,8284) = 4

GCF of 8280 and 8284

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

GCF of:
and

Greatest Common Factor of 8280 and 8284

GCF of 8280 and 8284 is 4

Prime Factorization of 8280


2 8280
2 4140
2 2070
3 1035
3 345
5 115
23 23
1

Prime factors of 8280 are 2,3,5,23. Prime factorization of 8280 in exponential form is:

8280 = 23×32×51×231

Prime Factorization of 8284


2 8284
2 4142
19 2071
109 109
1

Prime factors of 8284 are 2,19,109. Prime factorization of 8284 in exponential form is:

8284 = 22×191×1091

∴ So by taking common prime factors GCF of 8280 and 8284 is 4

Greatest Common Factor of 8280 and 8284 by matching factors method

Factors of 8280

List of positive integer factors of 8280 that divides 8280 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,23,24,30,36,40,45,46,60,69,72,90,92,115,120,138,180,184,207,230,276,345,360,414,460,552,690,828,920,1035,1380,1656,2070,2760,4140,8280

Factors of 8284

List of positive integer factors of 8284 that divides 8284 without a remainder.

1,2,4,19,38,76,109,218,436,2071,4142,8284

Greatest Common Factor

We found the factors and prime factorization of 8280 and 8284. The biggest common factor number is the GCF number.
So the greatest common factor 8280 and 8284 is 4.

Also check out the Least Common Multiple of 8280 and 8284

Properties of GCF 8280 and 8284

(i) The GCF of 8280 and 8284 is associative

GCF of 8280 and 8284 = GCF of 8284 and 8280

Related Greatest Common Factor of 8280

Related Greatest Common Factor of 8284

Frequently Asked Questions on GCF of 8280 and 8284

1. What is the GCF of 8280 and 8284?

Answer: GCF of 8280 and 8284 is 4.

2. What are the Factors of 8280?

Answer: Factors of 8280 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140, 8280. There are 48 integers that are factors of 8280. The greatest factor of 8280 is 8280.

3. What are the Factors of 8284?

Answer: Factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284. There are 12 integers that are factors of 8284. The greatest factor of 8284 is 8284.

4. How to Find the GCF of 8280 and 8284?

Answer:

Greatest Common Factor of 8280 and 8284 = 4

Step 1: Find the prime factorization of 8280

8280 = 2 x 2 x 2 x 3 x 3 x 5 x 23

Step 2: Find the prime factorization of 8284

8284 = 2 x 2 x 19 x 109

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 8280 and 8284 is 4