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 1271, 1273 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1271 and 1273 is 1.
GCF(1271,1273) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1271
31 | 1271 |
41 | 41 |
1 |
Prime factors of 1271 are 31,41. Prime factorization of 1271 in exponential form is:
1271 = 311×411
Prime Factorization of 1273
19 | 1273 |
67 | 67 |
1 |
Prime factors of 1273 are 19,67. Prime factorization of 1273 in exponential form is:
1273 = 191×671
∴ So by taking common prime factors GCF of 1271 and 1273 is 1
Factors of 1271
List of positive integer factors of 1271 that divides 1271 without a remainder.
1,31,41,1271
Factors of 1273
List of positive integer factors of 1273 that divides 1273 without a remainder.
1,19,67,1273
Greatest Common Factor
We found the factors and prime factorization of 1271 and 1273. The biggest common factor number is the GCF number.
So the greatest common factor 1271 and 1273 is 1.
Also check out the Least Common Multiple of 1271 and 1273
(i) The GCF of 1271 and 1273 is associative
GCF of 1271 and 1273 = GCF of 1273 and 1271
1. What is the GCF of 1271 and 1273?
Answer: GCF of 1271 and 1273 is 1.
2. What are the Factors of 1271?
Answer: Factors of 1271 are 1, 31, 41, 1271. There are 4 integers that are factors of 1271. The greatest factor of 1271 is 1271.
3. What are the Factors of 1273?
Answer: Factors of 1273 are 1, 19, 67, 1273. There are 4 integers that are factors of 1273. The greatest factor of 1273 is 1273.
4. How to Find the GCF of 1271 and 1273?
Answer:
Greatest Common Factor of 1271 and 1273 = 1
Step 1: Find the prime factorization of 1271
1271 = 31 x 41
Step 2: Find the prime factorization of 1273
1273 = 19 x 67
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 1271 and 1273 is 1