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 1253, 1257 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1253 and 1257 is 1.
GCF(1253,1257) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1257
3 | 1257 |
419 | 419 |
1 |
Prime factors of 1257 are 3,419. Prime factorization of 1257 in exponential form is:
1257 = 31×4191
∴ So by taking common prime factors GCF of 1253 and 1257 is 1
Factors of 1253
List of positive integer factors of 1253 that divides 1253 without a remainder.
1,7,179,1253
Factors of 1257
List of positive integer factors of 1257 that divides 1257 without a remainder.
1,3,419,1257
Greatest Common Factor
We found the factors and prime factorization of 1253 and 1257. The biggest common factor number is the GCF number.
So the greatest common factor 1253 and 1257 is 1.
Also check out the Least Common Multiple of 1253 and 1257
(i) The GCF of 1253 and 1257 is associative
GCF of 1253 and 1257 = GCF of 1257 and 1253
1. What is the GCF of 1253 and 1257?
Answer: GCF of 1253 and 1257 is 1.
2. 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.
3. What are the Factors of 1257?
Answer: Factors of 1257 are 1, 3, 419, 1257. There are 4 integers that are factors of 1257. The greatest factor of 1257 is 1257.
4. How to Find the GCF of 1253 and 1257?
Answer:
Greatest Common Factor of 1253 and 1257 = 1
Step 1: Find the prime factorization of 1253
1253 = 7 x 179
Step 2: Find the prime factorization of 1257
1257 = 3 x 419
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 1253 and 1257 is 1