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 4210, 4212 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4210 and 4212 is 2.
GCF(4210,4212) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4210
2 | 4210 |
5 | 2105 |
421 | 421 |
1 |
Prime factors of 4210 are 2,5,421. Prime factorization of 4210 in exponential form is:
4210 = 21×51×4211
Prime Factorization of 4212
2 | 4212 |
2 | 2106 |
3 | 1053 |
3 | 351 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 4212 are 2,3,13. Prime factorization of 4212 in exponential form is:
4212 = 22×34×131
∴ So by taking common prime factors GCF of 4210 and 4212 is 2
Factors of 4210
List of positive integer factors of 4210 that divides 4210 without a remainder.
1,2,5,10,421,842,2105,4210
Factors of 4212
List of positive integer factors of 4212 that divides 4212 without a remainder.
1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,81,108,117,156,162,234,324,351,468,702,1053,1404,2106,4212
Greatest Common Factor
We found the factors and prime factorization of 4210 and 4212. The biggest common factor number is the GCF number.
So the greatest common factor 4210 and 4212 is 2.
Also check out the Least Common Multiple of 4210 and 4212
(i) The GCF of 4210 and 4212 is associative
GCF of 4210 and 4212 = GCF of 4212 and 4210
1. What is the GCF of 4210 and 4212?
Answer: GCF of 4210 and 4212 is 2.
2. What are the Factors of 4210?
Answer: Factors of 4210 are 1, 2, 5, 10, 421, 842, 2105, 4210. There are 8 integers that are factors of 4210. The greatest factor of 4210 is 4210.
3. What are the Factors of 4212?
Answer: Factors of 4212 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212. There are 30 integers that are factors of 4212. The greatest factor of 4212 is 4212.
4. How to Find the GCF of 4210 and 4212?
Answer:
Greatest Common Factor of 4210 and 4212 = 2
Step 1: Find the prime factorization of 4210
4210 = 2 x 5 x 421
Step 2: Find the prime factorization of 4212
4212 = 2 x 2 x 3 x 3 x 3 x 3 x 13
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 4210 and 4212 is 2