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 47765, 47768 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 47765 and 47768 is 1.
GCF(47765,47768) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 47765
5 | 47765 |
41 | 9553 |
233 | 233 |
1 |
Prime factors of 47765 are 5,41,233. Prime factorization of 47765 in exponential form is:
47765 = 51×411×2331
Prime Factorization of 47768
2 | 47768 |
2 | 23884 |
2 | 11942 |
7 | 5971 |
853 | 853 |
1 |
Prime factors of 47768 are 2,7,853. Prime factorization of 47768 in exponential form is:
47768 = 23×71×8531
∴ So by taking common prime factors GCF of 47765 and 47768 is 1
Factors of 47765
List of positive integer factors of 47765 that divides 47765 without a remainder.
1,5,41,205,233,1165,9553,47765
Factors of 47768
List of positive integer factors of 47768 that divides 47768 without a remainder.
1,2,4,7,8,14,28,56,853,1706,3412,5971,6824,11942,23884,47768
Greatest Common Factor
We found the factors and prime factorization of 47765 and 47768. The biggest common factor number is the GCF number.
So the greatest common factor 47765 and 47768 is 1.
Also check out the Least Common Multiple of 47765 and 47768
(i) The GCF of 47765 and 47768 is associative
GCF of 47765 and 47768 = GCF of 47768 and 47765
1. What is the GCF of 47765 and 47768?
Answer: GCF of 47765 and 47768 is 1.
2. What are the Factors of 47765?
Answer: Factors of 47765 are 1, 5, 41, 205, 233, 1165, 9553, 47765. There are 8 integers that are factors of 47765. The greatest factor of 47765 is 47765.
3. What are the Factors of 47768?
Answer: Factors of 47768 are 1, 2, 4, 7, 8, 14, 28, 56, 853, 1706, 3412, 5971, 6824, 11942, 23884, 47768. There are 16 integers that are factors of 47768. The greatest factor of 47768 is 47768.
4. How to Find the GCF of 47765 and 47768?
Answer:
Greatest Common Factor of 47765 and 47768 = 1
Step 1: Find the prime factorization of 47765
47765 = 5 x 41 x 233
Step 2: Find the prime factorization of 47768
47768 = 2 x 2 x 2 x 7 x 853
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 47765 and 47768 is 1