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 1299, 1301 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1299 and 1301 is 1.
GCF(1299,1301) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1299
3 | 1299 |
433 | 433 |
1 |
Prime factors of 1299 are 3,433. Prime factorization of 1299 in exponential form is:
1299 = 31×4331
Prime Factorization of 1301
1301 | 1301 |
1 |
Prime factors of 1301 are 1301. Prime factorization of 1301 in exponential form is:
1301 = 13011
∴ So by taking common prime factors GCF of 1299 and 1301 is 1
Factors of 1299
List of positive integer factors of 1299 that divides 1299 without a remainder.
1,3,433,1299
Factors of 1301
List of positive integer factors of 1301 that divides 1301 without a remainder.
1,1301
Greatest Common Factor
We found the factors and prime factorization of 1299 and 1301. The biggest common factor number is the GCF number.
So the greatest common factor 1299 and 1301 is 1.
Also check out the Least Common Multiple of 1299 and 1301
(i) The GCF of 1299 and 1301 is associative
GCF of 1299 and 1301 = GCF of 1301 and 1299
1. What is the GCF of 1299 and 1301?
Answer: GCF of 1299 and 1301 is 1.
2. What are the Factors of 1299?
Answer: Factors of 1299 are 1, 3, 433, 1299. There are 4 integers that are factors of 1299. The greatest factor of 1299 is 1299.
3. What are the Factors of 1301?
Answer: Factors of 1301 are 1, 1301. There are 2 integers that are factors of 1301. The greatest factor of 1301 is 1301.
4. How to Find the GCF of 1299 and 1301?
Answer:
Greatest Common Factor of 1299 and 1301 = 1
Step 1: Find the prime factorization of 1299
1299 = 3 x 433
Step 2: Find the prime factorization of 1301
1301 = 1301
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 1299 and 1301 is 1