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 4037, 4042 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4037 and 4042 is 1.
GCF(4037,4042) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4037
11 | 4037 |
367 | 367 |
1 |
Prime factors of 4037 are 11,367. Prime factorization of 4037 in exponential form is:
4037 = 111×3671
Prime Factorization of 4042
2 | 4042 |
43 | 2021 |
47 | 47 |
1 |
Prime factors of 4042 are 2,43,47. Prime factorization of 4042 in exponential form is:
4042 = 21×431×471
∴ So by taking common prime factors GCF of 4037 and 4042 is 1
Factors of 4037
List of positive integer factors of 4037 that divides 4037 without a remainder.
1,11,367,4037
Factors of 4042
List of positive integer factors of 4042 that divides 4042 without a remainder.
1,2,43,47,86,94,2021,4042
Greatest Common Factor
We found the factors and prime factorization of 4037 and 4042. The biggest common factor number is the GCF number.
So the greatest common factor 4037 and 4042 is 1.
Also check out the Least Common Multiple of 4037 and 4042
(i) The GCF of 4037 and 4042 is associative
GCF of 4037 and 4042 = GCF of 4042 and 4037
1. What is the GCF of 4037 and 4042?
Answer: GCF of 4037 and 4042 is 1.
2. What are the Factors of 4037?
Answer: Factors of 4037 are 1, 11, 367, 4037. There are 4 integers that are factors of 4037. The greatest factor of 4037 is 4037.
3. What are the Factors of 4042?
Answer: Factors of 4042 are 1, 2, 43, 47, 86, 94, 2021, 4042. There are 8 integers that are factors of 4042. The greatest factor of 4042 is 4042.
4. How to Find the GCF of 4037 and 4042?
Answer:
Greatest Common Factor of 4037 and 4042 = 1
Step 1: Find the prime factorization of 4037
4037 = 11 x 367
Step 2: Find the prime factorization of 4042
4042 = 2 x 43 x 47
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 4037 and 4042 is 1