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 3037, 3042 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3037 and 3042 is 1.
GCF(3037,3042) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3037
3037 | 3037 |
1 |
Prime factors of 3037 are 3037. Prime factorization of 3037 in exponential form is:
3037 = 30371
Prime Factorization of 3042
2 | 3042 |
3 | 1521 |
3 | 507 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 3042 are 2.Prime factorization of 3042 in exponential form is:
3042 = 21×32×132
∴ So by taking common prime factors GCF of 3037 and 3042 is 1
Factors of 3037
List of positive integer factors of 3037 that divides 3037 without a remainder.
1,3037
Factors of 3042
List of positive integer factors of 3042 that divides 3042 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,169,234,338,507,1014,1521,3042
Greatest Common Factor
We found the factors and prime factorization of 3037 and 3042. The biggest common factor number is the GCF number.
So the greatest common factor 3037 and 3042 is 1.
Also check out the Least Common Multiple of 3037 and 3042
(i) The GCF of 3037 and 3042 is associative
GCF of 3037 and 3042 = GCF of 3042 and 3037
1. What is the GCF of 3037 and 3042?
Answer: GCF of 3037 and 3042 is 1.
2. What are the Factors of 3037?
Answer: Factors of 3037 are 1, 3037. There are 2 integers that are factors of 3037. The greatest factor of 3037 is 3037.
3. What are the Factors of 3042?
Answer: Factors of 3042 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 169, 234, 338, 507, 1014, 1521, 3042. There are 18 integers that are factors of 3042. The greatest factor of 3042 is 3042.
4. How to Find the GCF of 3037 and 3042?
Answer:
Greatest Common Factor of 3037 and 3042 = 1
Step 1: Find the prime factorization of 3037
3037 = 3037
Step 2: Find the prime factorization of 3042
3042 = 2 x 3 x 3 x 13 x 13
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 3037 and 3042 is 1