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 4216, 4218 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4216 and 4218 is 2.
GCF(4216,4218) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4216
2 | 4216 |
2 | 2108 |
2 | 1054 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 4216 are 2,17,31. Prime factorization of 4216 in exponential form is:
4216 = 23×171×311
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 4216 and 4218 is 2
Factors of 4216
List of positive integer factors of 4216 that divides 4216 without a remainder.
1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216
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 4216 and 4218. The biggest common factor number is the GCF number.
So the greatest common factor 4216 and 4218 is 2.
Also check out the Least Common Multiple of 4216 and 4218
(i) The GCF of 4216 and 4218 is associative
GCF of 4216 and 4218 = GCF of 4218 and 4216
1. What is the GCF of 4216 and 4218?
Answer: GCF of 4216 and 4218 is 2.
2. What are the Factors of 4216?
Answer: Factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216. There are 16 integers that are factors of 4216. The greatest factor of 4216 is 4216.
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 4216 and 4218?
Answer:
Greatest Common Factor of 4216 and 4218 = 2
Step 1: Find the prime factorization of 4216
4216 = 2 x 2 x 2 x 17 x 31
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 4216 and 4218 is 2