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 4206, 4207 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4206 and 4207 is 1.
GCF(4206,4207) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4206
2 | 4206 |
3 | 2103 |
701 | 701 |
1 |
Prime factors of 4206 are 2,3,701. Prime factorization of 4206 in exponential form is:
4206 = 21×31×7011
Prime Factorization of 4207
7 | 4207 |
601 | 601 |
1 |
Prime factors of 4207 are 7,601. Prime factorization of 4207 in exponential form is:
4207 = 71×6011
∴ So by taking common prime factors GCF of 4206 and 4207 is 1
Factors of 4206
List of positive integer factors of 4206 that divides 4206 without a remainder.
1,2,3,6,701,1402,2103,4206
Factors of 4207
List of positive integer factors of 4207 that divides 4207 without a remainder.
1,7,601,4207
Greatest Common Factor
We found the factors and prime factorization of 4206 and 4207. The biggest common factor number is the GCF number.
So the greatest common factor 4206 and 4207 is 1.
Also check out the Least Common Multiple of 4206 and 4207
(i) The GCF of 4206 and 4207 is associative
GCF of 4206 and 4207 = GCF of 4207 and 4206
1. What is the GCF of 4206 and 4207?
Answer: GCF of 4206 and 4207 is 1.
2. What are the Factors of 4206?
Answer: Factors of 4206 are 1, 2, 3, 6, 701, 1402, 2103, 4206. There are 8 integers that are factors of 4206. The greatest factor of 4206 is 4206.
3. What are the Factors of 4207?
Answer: Factors of 4207 are 1, 7, 601, 4207. There are 4 integers that are factors of 4207. The greatest factor of 4207 is 4207.
4. How to Find the GCF of 4206 and 4207?
Answer:
Greatest Common Factor of 4206 and 4207 = 1
Step 1: Find the prime factorization of 4206
4206 = 2 x 3 x 701
Step 2: Find the prime factorization of 4207
4207 = 7 x 601
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 4206 and 4207 is 1