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 9040, 9047 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9040 and 9047 is 1.
GCF(9040,9047) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9040
2 | 9040 |
2 | 4520 |
2 | 2260 |
2 | 1130 |
5 | 565 |
113 | 113 |
1 |
Prime factors of 9040 are 2,5,113. Prime factorization of 9040 in exponential form is:
9040 = 24×51×1131
Prime Factorization of 9047
83 | 9047 |
109 | 109 |
1 |
Prime factors of 9047 are 83,109. Prime factorization of 9047 in exponential form is:
9047 = 831×1091
∴ So by taking common prime factors GCF of 9040 and 9047 is 1
Factors of 9040
List of positive integer factors of 9040 that divides 9040 without a remainder.
1,2,4,5,8,10,16,20,40,80,113,226,452,565,904,1130,1808,2260,4520,9040
Factors of 9047
List of positive integer factors of 9047 that divides 9047 without a remainder.
1,83,109,9047
Greatest Common Factor
We found the factors and prime factorization of 9040 and 9047. The biggest common factor number is the GCF number.
So the greatest common factor 9040 and 9047 is 1.
Also check out the Least Common Multiple of 9040 and 9047
(i) The GCF of 9040 and 9047 is associative
GCF of 9040 and 9047 = GCF of 9047 and 9040
1. What is the GCF of 9040 and 9047?
Answer: GCF of 9040 and 9047 is 1.
2. What are the Factors of 9040?
Answer: Factors of 9040 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 113, 226, 452, 565, 904, 1130, 1808, 2260, 4520, 9040. There are 20 integers that are factors of 9040. The greatest factor of 9040 is 9040.
3. What are the Factors of 9047?
Answer: Factors of 9047 are 1, 83, 109, 9047. There are 4 integers that are factors of 9047. The greatest factor of 9047 is 9047.
4. How to Find the GCF of 9040 and 9047?
Answer:
Greatest Common Factor of 9040 and 9047 = 1
Step 1: Find the prime factorization of 9040
9040 = 2 x 2 x 2 x 2 x 5 x 113
Step 2: Find the prime factorization of 9047
9047 = 83 x 109
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 9040 and 9047 is 1