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 10226, 10228 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10226 and 10228 is 2.
GCF(10226,10228) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10226
2 | 10226 |
5113 | 5113 |
1 |
Prime factors of 10226 are 2,5113. Prime factorization of 10226 in exponential form is:
10226 = 21×51131
Prime Factorization of 10228
2 | 10228 |
2 | 5114 |
2557 | 2557 |
1 |
Prime factors of 10228 are 2,2557. Prime factorization of 10228 in exponential form is:
10228 = 22×25571
∴ So by taking common prime factors GCF of 10226 and 10228 is 2
Factors of 10226
List of positive integer factors of 10226 that divides 10226 without a remainder.
1,2,5113,10226
Factors of 10228
List of positive integer factors of 10228 that divides 10228 without a remainder.
1,2,4,2557,5114,10228
Greatest Common Factor
We found the factors and prime factorization of 10226 and 10228. The biggest common factor number is the GCF number.
So the greatest common factor 10226 and 10228 is 2.
Also check out the Least Common Multiple of 10226 and 10228
(i) The GCF of 10226 and 10228 is associative
GCF of 10226 and 10228 = GCF of 10228 and 10226
1. What is the GCF of 10226 and 10228?
Answer: GCF of 10226 and 10228 is 2.
2. What are the Factors of 10226?
Answer: Factors of 10226 are 1, 2, 5113, 10226. There are 4 integers that are factors of 10226. The greatest factor of 10226 is 10226.
3. What are the Factors of 10228?
Answer: Factors of 10228 are 1, 2, 4, 2557, 5114, 10228. There are 6 integers that are factors of 10228. The greatest factor of 10228 is 10228.
4. How to Find the GCF of 10226 and 10228?
Answer:
Greatest Common Factor of 10226 and 10228 = 2
Step 1: Find the prime factorization of 10226
10226 = 2 x 5113
Step 2: Find the prime factorization of 10228
10228 = 2 x 2 x 2557
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 10226 and 10228 is 2