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 4202, 4208 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4202 and 4208 is 2.
GCF(4202,4208) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4202
2 | 4202 |
11 | 2101 |
191 | 191 |
1 |
Prime factors of 4202 are 2,11,191. Prime factorization of 4202 in exponential form is:
4202 = 21×111×1911
Prime Factorization of 4208
2 | 4208 |
2 | 2104 |
2 | 1052 |
2 | 526 |
263 | 263 |
1 |
Prime factors of 4208 are 2,263. Prime factorization of 4208 in exponential form is:
4208 = 24×2631
∴ So by taking common prime factors GCF of 4202 and 4208 is 2
Factors of 4202
List of positive integer factors of 4202 that divides 4202 without a remainder.
1,2,11,22,191,382,2101,4202
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 4202 and 4208. The biggest common factor number is the GCF number.
So the greatest common factor 4202 and 4208 is 2.
Also check out the Least Common Multiple of 4202 and 4208
(i) The GCF of 4202 and 4208 is associative
GCF of 4202 and 4208 = GCF of 4208 and 4202
1. What is the GCF of 4202 and 4208?
Answer: GCF of 4202 and 4208 is 2.
2. What are the Factors of 4202?
Answer: Factors of 4202 are 1, 2, 11, 22, 191, 382, 2101, 4202. There are 8 integers that are factors of 4202. The greatest factor of 4202 is 4202.
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 4202 and 4208?
Answer:
Greatest Common Factor of 4202 and 4208 = 2
Step 1: Find the prime factorization of 4202
4202 = 2 x 11 x 191
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 = 2
Step 4: Therefore, the greatest common factor of 4202 and 4208 is 2