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 7222, 7227 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7222 and 7227 is 1.
GCF(7222,7227) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7222
2 | 7222 |
23 | 3611 |
157 | 157 |
1 |
Prime factors of 7222 are 2,23,157. Prime factorization of 7222 in exponential form is:
7222 = 21×231×1571
Prime Factorization of 7227
3 | 7227 |
3 | 2409 |
11 | 803 |
73 | 73 |
1 |
Prime factors of 7227 are 3,11,73. Prime factorization of 7227 in exponential form is:
7227 = 32×111×731
∴ So by taking common prime factors GCF of 7222 and 7227 is 1
Factors of 7222
List of positive integer factors of 7222 that divides 7222 without a remainder.
1,2,23,46,157,314,3611,7222
Factors of 7227
List of positive integer factors of 7227 that divides 7227 without a remainder.
1,3,9,11,33,73,99,219,657,803,2409,7227
Greatest Common Factor
We found the factors and prime factorization of 7222 and 7227. The biggest common factor number is the GCF number.
So the greatest common factor 7222 and 7227 is 1.
Also check out the Least Common Multiple of 7222 and 7227
(i) The GCF of 7222 and 7227 is associative
GCF of 7222 and 7227 = GCF of 7227 and 7222
1. What is the GCF of 7222 and 7227?
Answer: GCF of 7222 and 7227 is 1.
2. What are the Factors of 7222?
Answer: Factors of 7222 are 1, 2, 23, 46, 157, 314, 3611, 7222. There are 8 integers that are factors of 7222. The greatest factor of 7222 is 7222.
3. What are the Factors of 7227?
Answer: Factors of 7227 are 1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227. There are 12 integers that are factors of 7227. The greatest factor of 7227 is 7227.
4. How to Find the GCF of 7222 and 7227?
Answer:
Greatest Common Factor of 7222 and 7227 = 1
Step 1: Find the prime factorization of 7222
7222 = 2 x 23 x 157
Step 2: Find the prime factorization of 7227
7227 = 3 x 3 x 11 x 73
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 7222 and 7227 is 1