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 10201, 10208 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10201 and 10208 is 1.
GCF(10201,10208) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10201
101 | 10201 |
101 | 101 |
1 |
Prime factors of 10201 are 101. Prime factorization of 10201 in exponential form is:
10201 = 1012
Prime Factorization of 10208
2 | 10208 |
2 | 5104 |
2 | 2552 |
2 | 1276 |
2 | 638 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 10208 are 2.Prime factorization of 10208 in exponential form is:
10208 = 25×111×291
∴ So by taking common prime factors GCF of 10201 and 10208 is 1
Factors of 10201
List of positive integer factors of 10201 that divides 10201 without a remainder.
1,101,10201
Factors of 10208
List of positive integer factors of 10208 that divides 10208 without a remainder.
1,2,4,8,11,16,22,29,32,44,58,88,116,176,232,319,352,464,638,928,1276,2552,5104,10208
Greatest Common Factor
We found the factors and prime factorization of 10201 and 10208. The biggest common factor number is the GCF number.
So the greatest common factor 10201 and 10208 is 1.
Also check out the Least Common Multiple of 10201 and 10208
(i) The GCF of 10201 and 10208 is associative
GCF of 10201 and 10208 = GCF of 10208 and 10201
1. What is the GCF of 10201 and 10208?
Answer: GCF of 10201 and 10208 is 1.
2. What are the Factors of 10201?
Answer: Factors of 10201 are 1, 101, 10201. There are 3 integers that are factors of 10201. The greatest factor of 10201 is 10201.
3. What are the Factors of 10208?
Answer: Factors of 10208 are 1, 2, 4, 8, 11, 16, 22, 29, 32, 44, 58, 88, 116, 176, 232, 319, 352, 464, 638, 928, 1276, 2552, 5104, 10208. There are 24 integers that are factors of 10208. The greatest factor of 10208 is 10208.
4. How to Find the GCF of 10201 and 10208?
Answer:
Greatest Common Factor of 10201 and 10208 = 1
Step 1: Find the prime factorization of 10201
10201 = 101 x 101
Step 2: Find the prime factorization of 10208
10208 = 2 x 2 x 2 x 2 x 2 x 11 x 29
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 10201 and 10208 is 1