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 4237, 4242 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4237 and 4242 is 1.
GCF(4237,4242) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4237
19 | 4237 |
223 | 223 |
1 |
Prime factors of 4237 are 19,223. Prime factorization of 4237 in exponential form is:
4237 = 191×2231
Prime Factorization of 4242
2 | 4242 |
3 | 2121 |
7 | 707 |
101 | 101 |
1 |
Prime factors of 4242 are 2,3,7,101. Prime factorization of 4242 in exponential form is:
4242 = 21×31×71×1011
∴ So by taking common prime factors GCF of 4237 and 4242 is 1
Factors of 4237
List of positive integer factors of 4237 that divides 4237 without a remainder.
1,19,223,4237
Factors of 4242
List of positive integer factors of 4242 that divides 4242 without a remainder.
1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242
Greatest Common Factor
We found the factors and prime factorization of 4237 and 4242. The biggest common factor number is the GCF number.
So the greatest common factor 4237 and 4242 is 1.
Also check out the Least Common Multiple of 4237 and 4242
(i) The GCF of 4237 and 4242 is associative
GCF of 4237 and 4242 = GCF of 4242 and 4237
1. What is the GCF of 4237 and 4242?
Answer: GCF of 4237 and 4242 is 1.
2. What are the Factors of 4237?
Answer: Factors of 4237 are 1, 19, 223, 4237. There are 4 integers that are factors of 4237. The greatest factor of 4237 is 4237.
3. What are the Factors of 4242?
Answer: Factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242. There are 16 integers that are factors of 4242. The greatest factor of 4242 is 4242.
4. How to Find the GCF of 4237 and 4242?
Answer:
Greatest Common Factor of 4237 and 4242 = 1
Step 1: Find the prime factorization of 4237
4237 = 19 x 223
Step 2: Find the prime factorization of 4242
4242 = 2 x 3 x 7 x 101
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 4237 and 4242 is 1