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 9038, 9040 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9038 and 9040 is 2.
GCF(9038,9040) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9038
2 | 9038 |
4519 | 4519 |
1 |
Prime factors of 9038 are 2,4519. Prime factorization of 9038 in exponential form is:
9038 = 21×45191
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
∴ So by taking common prime factors GCF of 9038 and 9040 is 2
Factors of 9038
List of positive integer factors of 9038 that divides 9038 without a remainder.
1,2,4519,9038
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
Greatest Common Factor
We found the factors and prime factorization of 9038 and 9040. The biggest common factor number is the GCF number.
So the greatest common factor 9038 and 9040 is 2.
Also check out the Least Common Multiple of 9038 and 9040
(i) The GCF of 9038 and 9040 is associative
GCF of 9038 and 9040 = GCF of 9040 and 9038
1. What is the GCF of 9038 and 9040?
Answer: GCF of 9038 and 9040 is 2.
2. What are the Factors of 9038?
Answer: Factors of 9038 are 1, 2, 4519, 9038. There are 4 integers that are factors of 9038. The greatest factor of 9038 is 9038.
3. 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.
4. How to Find the GCF of 9038 and 9040?
Answer:
Greatest Common Factor of 9038 and 9040 = 2
Step 1: Find the prime factorization of 9038
9038 = 2 x 4519
Step 2: Find the prime factorization of 9040
9040 = 2 x 2 x 2 x 2 x 5 x 113
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9038 and 9040 is 2