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 797, 802 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 797 and 802 is 1.
GCF(797,802) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 797
797 | 797 |
1 |
Prime factors of 797 are 797. Prime factorization of 797 in exponential form is:
797 = 7971
Prime Factorization of 802
2 | 802 |
401 | 401 |
1 |
Prime factors of 802 are 2.Prime factorization of 802 in exponential form is:
802 = 21×4011
∴ So by taking common prime factors GCF of 797 and 802 is 1
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Greatest Common Factor
We found the factors and prime factorization of 797 and 802. The biggest common factor number is the GCF number.
So the greatest common factor 797 and 802 is 1.
Also check out the Least Common Multiple of 797 and 802
(i) The GCF of 797 and 802 is associative
GCF of 797 and 802 = GCF of 802 and 797
1. What is the GCF of 797 and 802?
Answer: GCF of 797 and 802 is 1.
2. What are the Factors of 797?
Answer: Factors of 797 are 1, 797. There are 2 integers that are factors of 797. The greatest factor of 797 is 797.
3. What are the Factors of 802?
Answer: Factors of 802 are 1, 2, 401, 802. There are 4 integers that are factors of 802. The greatest factor of 802 is 802.
4. How to Find the GCF of 797 and 802?
Answer:
Greatest Common Factor of 797 and 802 = 1
Step 1: Find the prime factorization of 797
797 = 797
Step 2: Find the prime factorization of 802
802 = 2 x 401
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 797 and 802 is 1