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 9037, 9042 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9037 and 9042 is 1.
GCF(9037,9042) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9037
7 | 9037 |
1291 | 1291 |
1 |
Prime factors of 9037 are 7,1291. Prime factorization of 9037 in exponential form is:
9037 = 71×12911
Prime Factorization of 9042
2 | 9042 |
3 | 4521 |
11 | 1507 |
137 | 137 |
1 |
Prime factors of 9042 are 2,3,11,137. Prime factorization of 9042 in exponential form is:
9042 = 21×31×111×1371
∴ So by taking common prime factors GCF of 9037 and 9042 is 1
Factors of 9037
List of positive integer factors of 9037 that divides 9037 without a remainder.
1,7,1291,9037
Factors of 9042
List of positive integer factors of 9042 that divides 9042 without a remainder.
1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042
Greatest Common Factor
We found the factors and prime factorization of 9037 and 9042. The biggest common factor number is the GCF number.
So the greatest common factor 9037 and 9042 is 1.
Also check out the Least Common Multiple of 9037 and 9042
(i) The GCF of 9037 and 9042 is associative
GCF of 9037 and 9042 = GCF of 9042 and 9037
1. What is the GCF of 9037 and 9042?
Answer: GCF of 9037 and 9042 is 1.
2. What are the Factors of 9037?
Answer: Factors of 9037 are 1, 7, 1291, 9037. There are 4 integers that are factors of 9037. The greatest factor of 9037 is 9037.
3. What are the Factors of 9042?
Answer: Factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042. There are 16 integers that are factors of 9042. The greatest factor of 9042 is 9042.
4. How to Find the GCF of 9037 and 9042?
Answer:
Greatest Common Factor of 9037 and 9042 = 1
Step 1: Find the prime factorization of 9037
9037 = 7 x 1291
Step 2: Find the prime factorization of 9042
9042 = 2 x 3 x 11 x 137
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 9037 and 9042 is 1