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 769, 771 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 769 and 771 is 1.
GCF(769,771) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 769
769 | 769 |
1 |
Prime factors of 769 are 769. Prime factorization of 769 in exponential form is:
769 = 7691
Prime Factorization of 771
3 | 771 |
257 | 257 |
1 |
Prime factors of 771 are 3.Prime factorization of 771 in exponential form is:
771 = 31×2571
∴ So by taking common prime factors GCF of 769 and 771 is 1
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors and prime factorization of 769 and 771. The biggest common factor number is the GCF number.
So the greatest common factor 769 and 771 is 1.
Also check out the Least Common Multiple of 769 and 771
(i) The GCF of 769 and 771 is associative
GCF of 769 and 771 = GCF of 771 and 769
1. What is the GCF of 769 and 771?
Answer: GCF of 769 and 771 is 1.
2. What are the Factors of 769?
Answer: Factors of 769 are 1, 769. There are 2 integers that are factors of 769. The greatest factor of 769 is 769.
3. What are the Factors of 771?
Answer: Factors of 771 are 1, 3, 257, 771. There are 4 integers that are factors of 771. The greatest factor of 771 is 771.
4. How to Find the GCF of 769 and 771?
Answer:
Greatest Common Factor of 769 and 771 = 1
Step 1: Find the prime factorization of 769
769 = 769
Step 2: Find the prime factorization of 771
771 = 3 x 257
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 769 and 771 is 1