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 2252, 2259 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2252 and 2259 is 1.
GCF(2252,2259) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2252
2 | 2252 |
2 | 1126 |
563 | 563 |
1 |
Prime factors of 2252 are 2,563. Prime factorization of 2252 in exponential form is:
2252 = 22×5631
Prime Factorization of 2259
3 | 2259 |
3 | 753 |
251 | 251 |
1 |
Prime factors of 2259 are 3,251. Prime factorization of 2259 in exponential form is:
2259 = 32×2511
∴ So by taking common prime factors GCF of 2252 and 2259 is 1
Factors of 2252
List of positive integer factors of 2252 that divides 2252 without a remainder.
1,2,4,563,1126,2252
Factors of 2259
List of positive integer factors of 2259 that divides 2259 without a remainder.
1,3,9,251,753,2259
Greatest Common Factor
We found the factors and prime factorization of 2252 and 2259. The biggest common factor number is the GCF number.
So the greatest common factor 2252 and 2259 is 1.
Also check out the Least Common Multiple of 2252 and 2259
(i) The GCF of 2252 and 2259 is associative
GCF of 2252 and 2259 = GCF of 2259 and 2252
1. What is the GCF of 2252 and 2259?
Answer: GCF of 2252 and 2259 is 1.
2. What are the Factors of 2252?
Answer: Factors of 2252 are 1, 2, 4, 563, 1126, 2252. There are 6 integers that are factors of 2252. The greatest factor of 2252 is 2252.
3. What are the Factors of 2259?
Answer: Factors of 2259 are 1, 3, 9, 251, 753, 2259. There are 6 integers that are factors of 2259. The greatest factor of 2259 is 2259.
4. How to Find the GCF of 2252 and 2259?
Answer:
Greatest Common Factor of 2252 and 2259 = 1
Step 1: Find the prime factorization of 2252
2252 = 2 x 2 x 563
Step 2: Find the prime factorization of 2259
2259 = 3 x 3 x 251
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 2252 and 2259 is 1