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 17224, 17228 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17224 and 17228 is 4.
GCF(17224,17228) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17224
2 | 17224 |
2 | 8612 |
2 | 4306 |
2153 | 2153 |
1 |
Prime factors of 17224 are 2,2153. Prime factorization of 17224 in exponential form is:
17224 = 23×21531
Prime Factorization of 17228
2 | 17228 |
2 | 8614 |
59 | 4307 |
73 | 73 |
1 |
Prime factors of 17228 are 2,59,73. Prime factorization of 17228 in exponential form is:
17228 = 22×591×731
∴ So by taking common prime factors GCF of 17224 and 17228 is 4
Factors of 17224
List of positive integer factors of 17224 that divides 17224 without a remainder.
1,2,4,8,2153,4306,8612,17224
Factors of 17228
List of positive integer factors of 17228 that divides 17228 without a remainder.
1,2,4,59,73,118,146,236,292,4307,8614,17228
Greatest Common Factor
We found the factors and prime factorization of 17224 and 17228. The biggest common factor number is the GCF number.
So the greatest common factor 17224 and 17228 is 4.
Also check out the Least Common Multiple of 17224 and 17228
(i) The GCF of 17224 and 17228 is associative
GCF of 17224 and 17228 = GCF of 17228 and 17224
1. What is the GCF of 17224 and 17228?
Answer: GCF of 17224 and 17228 is 4.
2. What are the Factors of 17224?
Answer: Factors of 17224 are 1, 2, 4, 8, 2153, 4306, 8612, 17224. There are 8 integers that are factors of 17224. The greatest factor of 17224 is 17224.
3. What are the Factors of 17228?
Answer: Factors of 17228 are 1, 2, 4, 59, 73, 118, 146, 236, 292, 4307, 8614, 17228. There are 12 integers that are factors of 17228. The greatest factor of 17228 is 17228.
4. How to Find the GCF of 17224 and 17228?
Answer:
Greatest Common Factor of 17224 and 17228 = 4
Step 1: Find the prime factorization of 17224
17224 = 2 x 2 x 2 x 2153
Step 2: Find the prime factorization of 17228
17228 = 2 x 2 x 59 x 73
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 17224 and 17228 is 4