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 4280, 4282 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4280 and 4282 is 2.
GCF(4280,4282) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4280
2 | 4280 |
2 | 2140 |
2 | 1070 |
5 | 535 |
107 | 107 |
1 |
Prime factors of 4280 are 2,5,107. Prime factorization of 4280 in exponential form is:
4280 = 23×51×1071
Prime Factorization of 4282
2 | 4282 |
2141 | 2141 |
1 |
Prime factors of 4282 are 2,2141. Prime factorization of 4282 in exponential form is:
4282 = 21×21411
∴ So by taking common prime factors GCF of 4280 and 4282 is 2
Factors of 4280
List of positive integer factors of 4280 that divides 4280 without a remainder.
1,2,4,5,8,10,20,40,107,214,428,535,856,1070,2140,4280
Factors of 4282
List of positive integer factors of 4282 that divides 4282 without a remainder.
1,2,2141,4282
Greatest Common Factor
We found the factors and prime factorization of 4280 and 4282. The biggest common factor number is the GCF number.
So the greatest common factor 4280 and 4282 is 2.
Also check out the Least Common Multiple of 4280 and 4282
(i) The GCF of 4280 and 4282 is associative
GCF of 4280 and 4282 = GCF of 4282 and 4280
1. What is the GCF of 4280 and 4282?
Answer: GCF of 4280 and 4282 is 2.
2. What are the Factors of 4280?
Answer: Factors of 4280 are 1, 2, 4, 5, 8, 10, 20, 40, 107, 214, 428, 535, 856, 1070, 2140, 4280. There are 16 integers that are factors of 4280. The greatest factor of 4280 is 4280.
3. What are the Factors of 4282?
Answer: Factors of 4282 are 1, 2, 2141, 4282. There are 4 integers that are factors of 4282. The greatest factor of 4282 is 4282.
4. How to Find the GCF of 4280 and 4282?
Answer:
Greatest Common Factor of 4280 and 4282 = 2
Step 1: Find the prime factorization of 4280
4280 = 2 x 2 x 2 x 5 x 107
Step 2: Find the prime factorization of 4282
4282 = 2 x 2141
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 4280 and 4282 is 2