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, 1255 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1248 and 1255 is 1.
GCF(1248,1255) = 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 1255
5 | 1255 |
251 | 251 |
1 |
Prime factors of 1255 are 5,251. Prime factorization of 1255 in exponential form is:
1255 = 51×2511
∴ So by taking common prime factors GCF of 1248 and 1255 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 1255
List of positive integer factors of 1255 that divides 1255 without a remainder.
1,5,251,1255
Greatest Common Factor
We found the factors and prime factorization of 1248 and 1255. The biggest common factor number is the GCF number.
So the greatest common factor 1248 and 1255 is 1.
Also check out the Least Common Multiple of 1248 and 1255
(i) The GCF of 1248 and 1255 is associative
GCF of 1248 and 1255 = GCF of 1255 and 1248
1. What is the GCF of 1248 and 1255?
Answer: GCF of 1248 and 1255 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 1255?
Answer: Factors of 1255 are 1, 5, 251, 1255. There are 4 integers that are factors of 1255. The greatest factor of 1255 is 1255.
4. How to Find the GCF of 1248 and 1255?
Answer:
Greatest Common Factor of 1248 and 1255 = 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 1255
1255 = 5 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 1248 and 1255 is 1