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 8874, 8881 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8874 and 8881 is 1.
GCF(8874,8881) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8874
2 | 8874 |
3 | 4437 |
3 | 1479 |
17 | 493 |
29 | 29 |
1 |
Prime factors of 8874 are 2,3,17,29. Prime factorization of 8874 in exponential form is:
8874 = 21×32×171×291
Prime Factorization of 8881
83 | 8881 |
107 | 107 |
1 |
Prime factors of 8881 are 83,107. Prime factorization of 8881 in exponential form is:
8881 = 831×1071
∴ So by taking common prime factors GCF of 8874 and 8881 is 1
Factors of 8874
List of positive integer factors of 8874 that divides 8874 without a remainder.
1,2,3,6,9,17,18,29,34,51,58,87,102,153,174,261,306,493,522,986,1479,2958,4437,8874
Factors of 8881
List of positive integer factors of 8881 that divides 8881 without a remainder.
1,83,107,8881
Greatest Common Factor
We found the factors and prime factorization of 8874 and 8881. The biggest common factor number is the GCF number.
So the greatest common factor 8874 and 8881 is 1.
Also check out the Least Common Multiple of 8874 and 8881
(i) The GCF of 8874 and 8881 is associative
GCF of 8874 and 8881 = GCF of 8881 and 8874
1. What is the GCF of 8874 and 8881?
Answer: GCF of 8874 and 8881 is 1.
2. What are the Factors of 8874?
Answer: Factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874. There are 24 integers that are factors of 8874. The greatest factor of 8874 is 8874.
3. What are the Factors of 8881?
Answer: Factors of 8881 are 1, 83, 107, 8881. There are 4 integers that are factors of 8881. The greatest factor of 8881 is 8881.
4. How to Find the GCF of 8874 and 8881?
Answer:
Greatest Common Factor of 8874 and 8881 = 1
Step 1: Find the prime factorization of 8874
8874 = 2 x 3 x 3 x 17 x 29
Step 2: Find the prime factorization of 8881
8881 = 83 x 107
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 8874 and 8881 is 1