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 4255, 4262 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4255 and 4262 is 1.
GCF(4255,4262) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 4262
2 | 4262 |
2131 | 2131 |
1 |
Prime factors of 4262 are 2,2131. Prime factorization of 4262 in exponential form is:
4262 = 21×21311
∴ So by taking common prime factors GCF of 4255 and 4262 is 1
Factors of 4255
List of positive integer factors of 4255 that divides 4255 without a remainder.
1,5,23,37,115,185,851,4255
Factors of 4262
List of positive integer factors of 4262 that divides 4262 without a remainder.
1,2,2131,4262
Greatest Common Factor
We found the factors and prime factorization of 4255 and 4262. The biggest common factor number is the GCF number.
So the greatest common factor 4255 and 4262 is 1.
Also check out the Least Common Multiple of 4255 and 4262
(i) The GCF of 4255 and 4262 is associative
GCF of 4255 and 4262 = GCF of 4262 and 4255
1. What is the GCF of 4255 and 4262?
Answer: GCF of 4255 and 4262 is 1.
2. 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.
3. What are the Factors of 4262?
Answer: Factors of 4262 are 1, 2, 2131, 4262. There are 4 integers that are factors of 4262. The greatest factor of 4262 is 4262.
4. How to Find the GCF of 4255 and 4262?
Answer:
Greatest Common Factor of 4255 and 4262 = 1
Step 1: Find the prime factorization of 4255
4255 = 5 x 23 x 37
Step 2: Find the prime factorization of 4262
4262 = 2 x 2131
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 4255 and 4262 is 1