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 4201, 4208 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4201 and 4208 is 1.
GCF(4201,4208) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4201
4201 | 4201 |
1 |
Prime factors of 4201 are 4201. Prime factorization of 4201 in exponential form is:
4201 = 42011
Prime Factorization of 4208
2 | 4208 |
2 | 2104 |
2 | 1052 |
2 | 526 |
263 | 263 |
1 |
Prime factors of 4208 are 2.Prime factorization of 4208 in exponential form is:
4208 = 24×2631
∴ So by taking common prime factors GCF of 4201 and 4208 is 1
Factors of 4201
List of positive integer factors of 4201 that divides 4201 without a remainder.
1,4201
Factors of 4208
List of positive integer factors of 4208 that divides 4208 without a remainder.
1,2,4,8,16,263,526,1052,2104,4208
Greatest Common Factor
We found the factors and prime factorization of 4201 and 4208. The biggest common factor number is the GCF number.
So the greatest common factor 4201 and 4208 is 1.
Also check out the Least Common Multiple of 4201 and 4208
(i) The GCF of 4201 and 4208 is associative
GCF of 4201 and 4208 = GCF of 4208 and 4201
1. What is the GCF of 4201 and 4208?
Answer: GCF of 4201 and 4208 is 1.
2. What are the Factors of 4201?
Answer: Factors of 4201 are 1, 4201. There are 2 integers that are factors of 4201. The greatest factor of 4201 is 4201.
3. What are the Factors of 4208?
Answer: Factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208. There are 10 integers that are factors of 4208. The greatest factor of 4208 is 4208.
4. How to Find the GCF of 4201 and 4208?
Answer:
Greatest Common Factor of 4201 and 4208 = 1
Step 1: Find the prime factorization of 4201
4201 = 4201
Step 2: Find the prime factorization of 4208
4208 = 2 x 2 x 2 x 2 x 263
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 4201 and 4208 is 1