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 6253, 6260 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6253 and 6260 is 1.
GCF(6253,6260) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6253
13 | 6253 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 6253 are 13,37. Prime factorization of 6253 in exponential form is:
6253 = 132×371
Prime Factorization of 6260
2 | 6260 |
2 | 3130 |
5 | 1565 |
313 | 313 |
1 |
Prime factors of 6260 are 2,5,313. Prime factorization of 6260 in exponential form is:
6260 = 22×51×3131
∴ So by taking common prime factors GCF of 6253 and 6260 is 1
Factors of 6253
List of positive integer factors of 6253 that divides 6253 without a remainder.
1,13,37,169,481,6253
Factors of 6260
List of positive integer factors of 6260 that divides 6260 without a remainder.
1,2,4,5,10,20,313,626,1252,1565,3130,6260
Greatest Common Factor
We found the factors and prime factorization of 6253 and 6260. The biggest common factor number is the GCF number.
So the greatest common factor 6253 and 6260 is 1.
Also check out the Least Common Multiple of 6253 and 6260
(i) The GCF of 6253 and 6260 is associative
GCF of 6253 and 6260 = GCF of 6260 and 6253
1. What is the GCF of 6253 and 6260?
Answer: GCF of 6253 and 6260 is 1.
2. What are the Factors of 6253?
Answer: Factors of 6253 are 1, 13, 37, 169, 481, 6253. There are 6 integers that are factors of 6253. The greatest factor of 6253 is 6253.
3. What are the Factors of 6260?
Answer: Factors of 6260 are 1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260. There are 12 integers that are factors of 6260. The greatest factor of 6260 is 6260.
4. How to Find the GCF of 6253 and 6260?
Answer:
Greatest Common Factor of 6253 and 6260 = 1
Step 1: Find the prime factorization of 6253
6253 = 13 x 13 x 37
Step 2: Find the prime factorization of 6260
6260 = 2 x 2 x 5 x 313
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 6253 and 6260 is 1