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 2226, 2231 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2226 and 2231 is 1.
GCF(2226,2231) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2226
2 | 2226 |
3 | 1113 |
7 | 371 |
53 | 53 |
1 |
Prime factors of 2226 are 2,3,7,53. Prime factorization of 2226 in exponential form is:
2226 = 21×31×71×531
Prime Factorization of 2231
23 | 2231 |
97 | 97 |
1 |
Prime factors of 2231 are 23,97. Prime factorization of 2231 in exponential form is:
2231 = 231×971
∴ So by taking common prime factors GCF of 2226 and 2231 is 1
Factors of 2226
List of positive integer factors of 2226 that divides 2226 without a remainder.
1,2,3,6,7,14,21,42,53,106,159,318,371,742,1113,2226
Factors of 2231
List of positive integer factors of 2231 that divides 2231 without a remainder.
1,23,97,2231
Greatest Common Factor
We found the factors and prime factorization of 2226 and 2231. The biggest common factor number is the GCF number.
So the greatest common factor 2226 and 2231 is 1.
Also check out the Least Common Multiple of 2226 and 2231
(i) The GCF of 2226 and 2231 is associative
GCF of 2226 and 2231 = GCF of 2231 and 2226
1. What is the GCF of 2226 and 2231?
Answer: GCF of 2226 and 2231 is 1.
2. What are the Factors of 2226?
Answer: Factors of 2226 are 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 1113, 2226. There are 16 integers that are factors of 2226. The greatest factor of 2226 is 2226.
3. What are the Factors of 2231?
Answer: Factors of 2231 are 1, 23, 97, 2231. There are 4 integers that are factors of 2231. The greatest factor of 2231 is 2231.
4. How to Find the GCF of 2226 and 2231?
Answer:
Greatest Common Factor of 2226 and 2231 = 1
Step 1: Find the prime factorization of 2226
2226 = 2 x 3 x 7 x 53
Step 2: Find the prime factorization of 2231
2231 = 23 x 97
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 2226 and 2231 is 1