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 763, 769 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 763 and 769 is 1.
GCF(763,769) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 763
7 | 763 |
109 | 109 |
1 |
Prime factors of 763 are 7,109. Prime factorization of 763 in exponential form is:
763 = 71×1091
Prime Factorization of 769
769 | 769 |
1 |
Prime factors of 769 are 769. Prime factorization of 769 in exponential form is:
769 = 7691
∴ So by taking common prime factors GCF of 763 and 769 is 1
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Greatest Common Factor
We found the factors and prime factorization of 763 and 769. The biggest common factor number is the GCF number.
So the greatest common factor 763 and 769 is 1.
Also check out the Least Common Multiple of 763 and 769
(i) The GCF of 763 and 769 is associative
GCF of 763 and 769 = GCF of 769 and 763
1. What is the GCF of 763 and 769?
Answer: GCF of 763 and 769 is 1.
2. What are the Factors of 763?
Answer: Factors of 763 are 1, 7, 109, 763. There are 4 integers that are factors of 763. The greatest factor of 763 is 763.
3. 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.
4. How to Find the GCF of 763 and 769?
Answer:
Greatest Common Factor of 763 and 769 = 1
Step 1: Find the prime factorization of 763
763 = 7 x 109
Step 2: Find the prime factorization of 769
769 = 769
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 763 and 769 is 1