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 9208, 9211 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9208 and 9211 is 1.
GCF(9208,9211) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9208
2 | 9208 |
2 | 4604 |
2 | 2302 |
1151 | 1151 |
1 |
Prime factors of 9208 are 2,1151. Prime factorization of 9208 in exponential form is:
9208 = 23×11511
Prime Factorization of 9211
61 | 9211 |
151 | 151 |
1 |
Prime factors of 9211 are 61,151. Prime factorization of 9211 in exponential form is:
9211 = 611×1511
∴ So by taking common prime factors GCF of 9208 and 9211 is 1
Factors of 9208
List of positive integer factors of 9208 that divides 9208 without a remainder.
1,2,4,8,1151,2302,4604,9208
Factors of 9211
List of positive integer factors of 9211 that divides 9211 without a remainder.
1,61,151,9211
Greatest Common Factor
We found the factors and prime factorization of 9208 and 9211. The biggest common factor number is the GCF number.
So the greatest common factor 9208 and 9211 is 1.
Also check out the Least Common Multiple of 9208 and 9211
(i) The GCF of 9208 and 9211 is associative
GCF of 9208 and 9211 = GCF of 9211 and 9208
1. What is the GCF of 9208 and 9211?
Answer: GCF of 9208 and 9211 is 1.
2. What are the Factors of 9208?
Answer: Factors of 9208 are 1, 2, 4, 8, 1151, 2302, 4604, 9208. There are 8 integers that are factors of 9208. The greatest factor of 9208 is 9208.
3. What are the Factors of 9211?
Answer: Factors of 9211 are 1, 61, 151, 9211. There are 4 integers that are factors of 9211. The greatest factor of 9211 is 9211.
4. How to Find the GCF of 9208 and 9211?
Answer:
Greatest Common Factor of 9208 and 9211 = 1
Step 1: Find the prime factorization of 9208
9208 = 2 x 2 x 2 x 1151
Step 2: Find the prime factorization of 9211
9211 = 61 x 151
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 9208 and 9211 is 1