Greatest Common Factor of 8280 and 8285

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, 8285 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8280 and 8285 is 5.

GCF(8280,8285) = 5

GCF of 8280 and 8285

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

GCF of:
and

Greatest Common Factor of 8280 and 8285

GCF of 8280 and 8285 is 5

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 8285


5 8285
1657 1657
1

Prime factors of 8285 are 5,1657. Prime factorization of 8285 in exponential form is:

8285 = 51×16571

∴ So by taking common prime factors GCF of 8280 and 8285 is 5

Greatest Common Factor of 8280 and 8285 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 8285

List of positive integer factors of 8285 that divides 8285 without a remainder.

1,5,1657,8285

Greatest Common Factor

We found the factors and prime factorization of 8280 and 8285. The biggest common factor number is the GCF number.
So the greatest common factor 8280 and 8285 is 5.

Also check out the Least Common Multiple of 8280 and 8285

Properties of GCF 8280 and 8285

(i) The GCF of 8280 and 8285 is associative

GCF of 8280 and 8285 = GCF of 8285 and 8280

Related Greatest Common Factor of 8280

Related Greatest Common Factor of 8285

Frequently Asked Questions on GCF of 8280 and 8285

1. What is the GCF of 8280 and 8285?

Answer: GCF of 8280 and 8285 is 5.

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 8285?

Answer: Factors of 8285 are 1, 5, 1657, 8285. There are 4 integers that are factors of 8285. The greatest factor of 8285 is 8285.

4. How to Find the GCF of 8280 and 8285?

Answer:

Greatest Common Factor of 8280 and 8285 = 5

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 8285

8285 = 5 x 1657

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8280 and 8285 is 5