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 4248, 4255 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4248 and 4255 is 1.
GCF(4248,4255) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4248
2 | 4248 |
2 | 2124 |
2 | 1062 |
3 | 531 |
3 | 177 |
59 | 59 |
1 |
Prime factors of 4248 are 2,3,59. Prime factorization of 4248 in exponential form is:
4248 = 23×32×591
Prime Factorization of 4255
5 | 4255 |
23 | 851 |
37 | 37 |
1 |
Prime factors of 4255 are 5,23,37. Prime factorization of 4255 in exponential form is:
4255 = 51×231×371
∴ So by taking common prime factors GCF of 4248 and 4255 is 1
Factors of 4248
List of positive integer factors of 4248 that divides 4248 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,59,72,118,177,236,354,472,531,708,1062,1416,2124,4248
Factors of 4255
List of positive integer factors of 4255 that divides 4255 without a remainder.
1,5,23,37,115,185,851,4255
Greatest Common Factor
We found the factors and prime factorization of 4248 and 4255. The biggest common factor number is the GCF number.
So the greatest common factor 4248 and 4255 is 1.
Also check out the Least Common Multiple of 4248 and 4255
(i) The GCF of 4248 and 4255 is associative
GCF of 4248 and 4255 = GCF of 4255 and 4248
1. What is the GCF of 4248 and 4255?
Answer: GCF of 4248 and 4255 is 1.
2. What are the Factors of 4248?
Answer: Factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248. There are 24 integers that are factors of 4248. The greatest factor of 4248 is 4248.
3. What are the Factors of 4255?
Answer: Factors of 4255 are 1, 5, 23, 37, 115, 185, 851, 4255. There are 8 integers that are factors of 4255. The greatest factor of 4255 is 4255.
4. How to Find the GCF of 4248 and 4255?
Answer:
Greatest Common Factor of 4248 and 4255 = 1
Step 1: Find the prime factorization of 4248
4248 = 2 x 2 x 2 x 3 x 3 x 59
Step 2: Find the prime factorization of 4255
4255 = 5 x 23 x 37
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 4248 and 4255 is 1