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 4214, 4218 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4214 and 4218 is 2.
GCF(4214,4218) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4214
2 | 4214 |
7 | 2107 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 4214 are 2,7,43. Prime factorization of 4214 in exponential form is:
4214 = 21×72×431
Prime Factorization of 4218
2 | 4218 |
3 | 2109 |
19 | 703 |
37 | 37 |
1 |
Prime factors of 4218 are 2,3,19,37. Prime factorization of 4218 in exponential form is:
4218 = 21×31×191×371
∴ So by taking common prime factors GCF of 4214 and 4218 is 2
Factors of 4214
List of positive integer factors of 4214 that divides 4214 without a remainder.
1,2,7,14,43,49,86,98,301,602,2107,4214
Factors of 4218
List of positive integer factors of 4218 that divides 4218 without a remainder.
1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218
Greatest Common Factor
We found the factors and prime factorization of 4214 and 4218. The biggest common factor number is the GCF number.
So the greatest common factor 4214 and 4218 is 2.
Also check out the Least Common Multiple of 4214 and 4218
(i) The GCF of 4214 and 4218 is associative
GCF of 4214 and 4218 = GCF of 4218 and 4214
1. What is the GCF of 4214 and 4218?
Answer: GCF of 4214 and 4218 is 2.
2. What are the Factors of 4214?
Answer: Factors of 4214 are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214. There are 12 integers that are factors of 4214. The greatest factor of 4214 is 4214.
3. What are the Factors of 4218?
Answer: Factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218. There are 16 integers that are factors of 4218. The greatest factor of 4218 is 4218.
4. How to Find the GCF of 4214 and 4218?
Answer:
Greatest Common Factor of 4214 and 4218 = 2
Step 1: Find the prime factorization of 4214
4214 = 2 x 7 x 7 x 43
Step 2: Find the prime factorization of 4218
4218 = 2 x 3 x 19 x 37
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 4214 and 4218 is 2