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 8740, 8741 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8740 and 8741 is 1.
GCF(8740,8741) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8740
2 | 8740 |
2 | 4370 |
5 | 2185 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 8740 are 2,5,19,23. Prime factorization of 8740 in exponential form is:
8740 = 22×51×191×231
Prime Factorization of 8741
8741 | 8741 |
1 |
Prime factors of 8741 are 8741. Prime factorization of 8741 in exponential form is:
8741 = 87411
∴ So by taking common prime factors GCF of 8740 and 8741 is 1
Factors of 8740
List of positive integer factors of 8740 that divides 8740 without a remainder.
1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740
Factors of 8741
List of positive integer factors of 8741 that divides 8741 without a remainder.
1,8741
Greatest Common Factor
We found the factors and prime factorization of 8740 and 8741. The biggest common factor number is the GCF number.
So the greatest common factor 8740 and 8741 is 1.
Also check out the Least Common Multiple of 8740 and 8741
(i) The GCF of 8740 and 8741 is associative
GCF of 8740 and 8741 = GCF of 8741 and 8740
1. What is the GCF of 8740 and 8741?
Answer: GCF of 8740 and 8741 is 1.
2. What are the Factors of 8740?
Answer: Factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740. There are 24 integers that are factors of 8740. The greatest factor of 8740 is 8740.
3. What are the Factors of 8741?
Answer: Factors of 8741 are 1, 8741. There are 2 integers that are factors of 8741. The greatest factor of 8741 is 8741.
4. How to Find the GCF of 8740 and 8741?
Answer:
Greatest Common Factor of 8740 and 8741 = 1
Step 1: Find the prime factorization of 8740
8740 = 2 x 2 x 5 x 19 x 23
Step 2: Find the prime factorization of 8741
8741 = 8741
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 8740 and 8741 is 1