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 4281, 4288 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4281 and 4288 is 1.
GCF(4281,4288) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4281
3 | 4281 |
1427 | 1427 |
1 |
Prime factors of 4281 are 3,1427. Prime factorization of 4281 in exponential form is:
4281 = 31×14271
Prime Factorization of 4288
2 | 4288 |
2 | 2144 |
2 | 1072 |
2 | 536 |
2 | 268 |
2 | 134 |
67 | 67 |
1 |
Prime factors of 4288 are 2,67. Prime factorization of 4288 in exponential form is:
4288 = 26×671
∴ So by taking common prime factors GCF of 4281 and 4288 is 1
Factors of 4281
List of positive integer factors of 4281 that divides 4281 without a remainder.
1,3,1427,4281
Factors of 4288
List of positive integer factors of 4288 that divides 4288 without a remainder.
1,2,4,8,16,32,64,67,134,268,536,1072,2144,4288
Greatest Common Factor
We found the factors and prime factorization of 4281 and 4288. The biggest common factor number is the GCF number.
So the greatest common factor 4281 and 4288 is 1.
Also check out the Least Common Multiple of 4281 and 4288
(i) The GCF of 4281 and 4288 is associative
GCF of 4281 and 4288 = GCF of 4288 and 4281
1. What is the GCF of 4281 and 4288?
Answer: GCF of 4281 and 4288 is 1.
2. What are the Factors of 4281?
Answer: Factors of 4281 are 1, 3, 1427, 4281. There are 4 integers that are factors of 4281. The greatest factor of 4281 is 4281.
3. What are the Factors of 4288?
Answer: Factors of 4288 are 1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288. There are 14 integers that are factors of 4288. The greatest factor of 4288 is 4288.
4. How to Find the GCF of 4281 and 4288?
Answer:
Greatest Common Factor of 4281 and 4288 = 1
Step 1: Find the prime factorization of 4281
4281 = 3 x 1427
Step 2: Find the prime factorization of 4288
4288 = 2 x 2 x 2 x 2 x 2 x 2 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 4281 and 4288 is 1