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 16220, 16226 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 16220 and 16226 is 2.
GCF(16220,16226) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 16220
2 | 16220 |
2 | 8110 |
5 | 4055 |
811 | 811 |
1 |
Prime factors of 16220 are 2,5,811. Prime factorization of 16220 in exponential form is:
16220 = 22×51×8111
Prime Factorization of 16226
2 | 16226 |
7 | 8113 |
19 | 1159 |
61 | 61 |
1 |
Prime factors of 16226 are 2,7,19,61. Prime factorization of 16226 in exponential form is:
16226 = 21×71×191×611
∴ So by taking common prime factors GCF of 16220 and 16226 is 2
Factors of 16220
List of positive integer factors of 16220 that divides 16220 without a remainder.
1,2,4,5,10,20,811,1622,3244,4055,8110,16220
Factors of 16226
List of positive integer factors of 16226 that divides 16226 without a remainder.
1,2,7,14,19,38,61,122,133,266,427,854,1159,2318,8113,16226
Greatest Common Factor
We found the factors and prime factorization of 16220 and 16226. The biggest common factor number is the GCF number.
So the greatest common factor 16220 and 16226 is 2.
Also check out the Least Common Multiple of 16220 and 16226
(i) The GCF of 16220 and 16226 is associative
GCF of 16220 and 16226 = GCF of 16226 and 16220
1. What is the GCF of 16220 and 16226?
Answer: GCF of 16220 and 16226 is 2.
2. What are the Factors of 16220?
Answer: Factors of 16220 are 1, 2, 4, 5, 10, 20, 811, 1622, 3244, 4055, 8110, 16220. There are 12 integers that are factors of 16220. The greatest factor of 16220 is 16220.
3. What are the Factors of 16226?
Answer: Factors of 16226 are 1, 2, 7, 14, 19, 38, 61, 122, 133, 266, 427, 854, 1159, 2318, 8113, 16226. There are 16 integers that are factors of 16226. The greatest factor of 16226 is 16226.
4. How to Find the GCF of 16220 and 16226?
Answer:
Greatest Common Factor of 16220 and 16226 = 2
Step 1: Find the prime factorization of 16220
16220 = 2 x 2 x 5 x 811
Step 2: Find the prime factorization of 16226
16226 = 2 x 7 x 19 x 61
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 16220 and 16226 is 2