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 8248, 8253 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8248 and 8253 is 1.
GCF(8248,8253) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8248
2 | 8248 |
2 | 4124 |
2 | 2062 |
1031 | 1031 |
1 |
Prime factors of 8248 are 2,1031. Prime factorization of 8248 in exponential form is:
8248 = 23×10311
Prime Factorization of 8253
3 | 8253 |
3 | 2751 |
7 | 917 |
131 | 131 |
1 |
Prime factors of 8253 are 3,7,131. Prime factorization of 8253 in exponential form is:
8253 = 32×71×1311
∴ So by taking common prime factors GCF of 8248 and 8253 is 1
Factors of 8248
List of positive integer factors of 8248 that divides 8248 without a remainder.
1,2,4,8,1031,2062,4124,8248
Factors of 8253
List of positive integer factors of 8253 that divides 8253 without a remainder.
1,3,7,9,21,63,131,393,917,1179,2751,8253
Greatest Common Factor
We found the factors and prime factorization of 8248 and 8253. The biggest common factor number is the GCF number.
So the greatest common factor 8248 and 8253 is 1.
Also check out the Least Common Multiple of 8248 and 8253
(i) The GCF of 8248 and 8253 is associative
GCF of 8248 and 8253 = GCF of 8253 and 8248
1. What is the GCF of 8248 and 8253?
Answer: GCF of 8248 and 8253 is 1.
2. What are the Factors of 8248?
Answer: Factors of 8248 are 1, 2, 4, 8, 1031, 2062, 4124, 8248. There are 8 integers that are factors of 8248. The greatest factor of 8248 is 8248.
3. What are the Factors of 8253?
Answer: Factors of 8253 are 1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253. There are 12 integers that are factors of 8253. The greatest factor of 8253 is 8253.
4. How to Find the GCF of 8248 and 8253?
Answer:
Greatest Common Factor of 8248 and 8253 = 1
Step 1: Find the prime factorization of 8248
8248 = 2 x 2 x 2 x 1031
Step 2: Find the prime factorization of 8253
8253 = 3 x 3 x 7 x 131
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 8248 and 8253 is 1