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 7769, 7770 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7769 and 7770 is 1.
GCF(7769,7770) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7769
17 | 7769 |
457 | 457 |
1 |
Prime factors of 7769 are 17,457. Prime factorization of 7769 in exponential form is:
7769 = 171×4571
Prime Factorization of 7770
2 | 7770 |
3 | 3885 |
5 | 1295 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 7770 are 2,3,5,7,37. Prime factorization of 7770 in exponential form is:
7770 = 21×31×51×71×371
∴ So by taking common prime factors GCF of 7769 and 7770 is 1
Factors of 7769
List of positive integer factors of 7769 that divides 7769 without a remainder.
1,17,457,7769
Factors of 7770
List of positive integer factors of 7770 that divides 7770 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770
Greatest Common Factor
We found the factors and prime factorization of 7769 and 7770. The biggest common factor number is the GCF number.
So the greatest common factor 7769 and 7770 is 1.
Also check out the Least Common Multiple of 7769 and 7770
(i) The GCF of 7769 and 7770 is associative
GCF of 7769 and 7770 = GCF of 7770 and 7769
1. What is the GCF of 7769 and 7770?
Answer: GCF of 7769 and 7770 is 1.
2. What are the Factors of 7769?
Answer: Factors of 7769 are 1, 17, 457, 7769. There are 4 integers that are factors of 7769. The greatest factor of 7769 is 7769.
3. What are the Factors of 7770?
Answer: Factors of 7770 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885, 7770. There are 32 integers that are factors of 7770. The greatest factor of 7770 is 7770.
4. How to Find the GCF of 7769 and 7770?
Answer:
Greatest Common Factor of 7769 and 7770 = 1
Step 1: Find the prime factorization of 7769
7769 = 17 x 457
Step 2: Find the prime factorization of 7770
7770 = 2 x 3 x 5 x 7 x 37
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 7769 and 7770 is 1