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 781, 789 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 781 and 789 is 1.
GCF(781,789) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 781
11 | 781 |
71 | 71 |
1 |
Prime factors of 781 are 11,71. Prime factorization of 781 in exponential form is:
781 = 111×711
Prime Factorization of 789
3 | 789 |
263 | 263 |
1 |
Prime factors of 789 are 3,263. Prime factorization of 789 in exponential form is:
789 = 31×2631
∴ So by taking common prime factors GCF of 781 and 789 is 1
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors and prime factorization of 781 and 789. The biggest common factor number is the GCF number.
So the greatest common factor 781 and 789 is 1.
Also check out the Least Common Multiple of 781 and 789
(i) The GCF of 781 and 789 is associative
GCF of 781 and 789 = GCF of 789 and 781
1. What is the GCF of 781 and 789?
Answer: GCF of 781 and 789 is 1.
2. What are the Factors of 781?
Answer: Factors of 781 are 1, 11, 71, 781. There are 4 integers that are factors of 781. The greatest factor of 781 is 781.
3. What are the Factors of 789?
Answer: Factors of 789 are 1, 3, 263, 789. There are 4 integers that are factors of 789. The greatest factor of 789 is 789.
4. How to Find the GCF of 781 and 789?
Answer:
Greatest Common Factor of 781 and 789 = 1
Step 1: Find the prime factorization of 781
781 = 11 x 71
Step 2: Find the prime factorization of 789
789 = 3 x 263
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 781 and 789 is 1