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 1248, 1253 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1248 and 1253 is 1.
GCF(1248,1253) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1248
2 | 1248 |
2 | 624 |
2 | 312 |
2 | 156 |
2 | 78 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 1248 are 2,3,13. Prime factorization of 1248 in exponential form is:
1248 = 25×31×131
Prime Factorization of 1253
7 | 1253 |
179 | 179 |
1 |
Prime factors of 1253 are 7,179. Prime factorization of 1253 in exponential form is:
1253 = 71×1791
∴ So by taking common prime factors GCF of 1248 and 1253 is 1
Factors of 1248
List of positive integer factors of 1248 that divides 1248 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,208,312,416,624,1248
Factors of 1253
List of positive integer factors of 1253 that divides 1253 without a remainder.
1,7,179,1253
Greatest Common Factor
We found the factors and prime factorization of 1248 and 1253. The biggest common factor number is the GCF number.
So the greatest common factor 1248 and 1253 is 1.
Also check out the Least Common Multiple of 1248 and 1253
(i) The GCF of 1248 and 1253 is associative
GCF of 1248 and 1253 = GCF of 1253 and 1248
1. What is the GCF of 1248 and 1253?
Answer: GCF of 1248 and 1253 is 1.
2. What are the Factors of 1248?
Answer: Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248. There are 24 integers that are factors of 1248. The greatest factor of 1248 is 1248.
3. What are the Factors of 1253?
Answer: Factors of 1253 are 1, 7, 179, 1253. There are 4 integers that are factors of 1253. The greatest factor of 1253 is 1253.
4. How to Find the GCF of 1248 and 1253?
Answer:
Greatest Common Factor of 1248 and 1253 = 1
Step 1: Find the prime factorization of 1248
1248 = 2 x 2 x 2 x 2 x 2 x 3 x 13
Step 2: Find the prime factorization of 1253
1253 = 7 x 179
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 1248 and 1253 is 1