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 8883, 8890 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8883 and 8890 is 7.
GCF(8883,8890) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8883
3 | 8883 |
3 | 2961 |
3 | 987 |
7 | 329 |
47 | 47 |
1 |
Prime factors of 8883 are 3,7,47. Prime factorization of 8883 in exponential form is:
8883 = 33×71×471
Prime Factorization of 8890
2 | 8890 |
5 | 4445 |
7 | 889 |
127 | 127 |
1 |
Prime factors of 8890 are 2,5,7,127. Prime factorization of 8890 in exponential form is:
8890 = 21×51×71×1271
∴ So by taking common prime factors GCF of 8883 and 8890 is 7
Factors of 8883
List of positive integer factors of 8883 that divides 8883 without a remainder.
1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883
Factors of 8890
List of positive integer factors of 8890 that divides 8890 without a remainder.
1,2,5,7,10,14,35,70,127,254,635,889,1270,1778,4445,8890
Greatest Common Factor
We found the factors and prime factorization of 8883 and 8890. The biggest common factor number is the GCF number.
So the greatest common factor 8883 and 8890 is 7.
Also check out the Least Common Multiple of 8883 and 8890
(i) The GCF of 8883 and 8890 is associative
GCF of 8883 and 8890 = GCF of 8890 and 8883
1. What is the GCF of 8883 and 8890?
Answer: GCF of 8883 and 8890 is 7.
2. What are the Factors of 8883?
Answer: Factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883. There are 16 integers that are factors of 8883. The greatest factor of 8883 is 8883.
3. What are the Factors of 8890?
Answer: Factors of 8890 are 1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890. There are 16 integers that are factors of 8890. The greatest factor of 8890 is 8890.
4. How to Find the GCF of 8883 and 8890?
Answer:
Greatest Common Factor of 8883 and 8890 = 7
Step 1: Find the prime factorization of 8883
8883 = 3 x 3 x 3 x 7 x 47
Step 2: Find the prime factorization of 8890
8890 = 2 x 5 x 7 x 127
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 8883 and 8890 is 7