Greatest Common Factor of 8277 and 8280

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 8277, 8280 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8277 and 8280 is 3.

GCF(8277,8280) = 3

GCF of 8277 and 8280

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

GCF of:
and

Greatest Common Factor of 8277 and 8280

GCF of 8277 and 8280 is 3

Prime Factorization of 8277


3 8277
31 2759
89 89
1

Prime factors of 8277 are 3,31,89. Prime factorization of 8277 in exponential form is:

8277 = 31×311×891

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

∴ So by taking common prime factors GCF of 8277 and 8280 is 3

Greatest Common Factor of 8277 and 8280 by matching factors method

Factors of 8277

List of positive integer factors of 8277 that divides 8277 without a remainder.

1,3,31,89,93,267,2759,8277

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

Greatest Common Factor

We found the factors and prime factorization of 8277 and 8280. The biggest common factor number is the GCF number.
So the greatest common factor 8277 and 8280 is 3.

Also check out the Least Common Multiple of 8277 and 8280

Properties of GCF 8277 and 8280

(i) The GCF of 8277 and 8280 is associative

GCF of 8277 and 8280 = GCF of 8280 and 8277

Related Greatest Common Factor of 8277

Related Greatest Common Factor of 8280

Frequently Asked Questions on GCF of 8277 and 8280

1. What is the GCF of 8277 and 8280?

Answer: GCF of 8277 and 8280 is 3.

2. What are the Factors of 8277?

Answer: Factors of 8277 are 1, 3, 31, 89, 93, 267, 2759, 8277. There are 8 integers that are factors of 8277. The greatest factor of 8277 is 8277.

3. 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.

4. How to Find the GCF of 8277 and 8280?

Answer:

Greatest Common Factor of 8277 and 8280 = 3

Step 1: Find the prime factorization of 8277

8277 = 3 x 31 x 89

Step 2: Find the prime factorization of 8280

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

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8277 and 8280 is 3