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 8274, 8280 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8274 and 8280 is 6.
GCF(8274,8280) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8274
2 | 8274 |
3 | 4137 |
7 | 1379 |
197 | 197 |
1 |
Prime factors of 8274 are 2,3,7,197. Prime factorization of 8274 in exponential form is:
8274 = 21×31×71×1971
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 8274 and 8280 is 6
Factors of 8274
List of positive integer factors of 8274 that divides 8274 without a remainder.
1,2,3,6,7,14,21,42,197,394,591,1182,1379,2758,4137,8274
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 8274 and 8280. The biggest common factor number is the GCF number.
So the greatest common factor 8274 and 8280 is 6.
Also check out the Least Common Multiple of 8274 and 8280
(i) The GCF of 8274 and 8280 is associative
GCF of 8274 and 8280 = GCF of 8280 and 8274
1. What is the GCF of 8274 and 8280?
Answer: GCF of 8274 and 8280 is 6.
2. What are the Factors of 8274?
Answer: Factors of 8274 are 1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274. There are 16 integers that are factors of 8274. The greatest factor of 8274 is 8274.
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 8274 and 8280?
Answer:
Greatest Common Factor of 8274 and 8280 = 6
Step 1: Find the prime factorization of 8274
8274 = 2 x 3 x 7 x 197
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 = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 8274 and 8280 is 6