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 7229, 7236 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7229 and 7236 is 1.
GCF(7229,7236) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7229
7229 | 7229 |
1 |
Prime factors of 7229 are 7229. Prime factorization of 7229 in exponential form is:
7229 = 72291
Prime Factorization of 7236
2 | 7236 |
2 | 3618 |
3 | 1809 |
3 | 603 |
3 | 201 |
67 | 67 |
1 |
Prime factors of 7236 are 2.Prime factorization of 7236 in exponential form is:
7236 = 22×33×671
∴ So by taking common prime factors GCF of 7229 and 7236 is 1
Factors of 7229
List of positive integer factors of 7229 that divides 7229 without a remainder.
1,7229
Factors of 7236
List of positive integer factors of 7236 that divides 7236 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,67,108,134,201,268,402,603,804,1206,1809,2412,3618,7236
Greatest Common Factor
We found the factors and prime factorization of 7229 and 7236. The biggest common factor number is the GCF number.
So the greatest common factor 7229 and 7236 is 1.
Also check out the Least Common Multiple of 7229 and 7236
(i) The GCF of 7229 and 7236 is associative
GCF of 7229 and 7236 = GCF of 7236 and 7229
1. What is the GCF of 7229 and 7236?
Answer: GCF of 7229 and 7236 is 1.
2. What are the Factors of 7229?
Answer: Factors of 7229 are 1, 7229. There are 2 integers that are factors of 7229. The greatest factor of 7229 is 7229.
3. What are the Factors of 7236?
Answer: Factors of 7236 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 108, 134, 201, 268, 402, 603, 804, 1206, 1809, 2412, 3618, 7236. There are 24 integers that are factors of 7236. The greatest factor of 7236 is 7236.
4. How to Find the GCF of 7229 and 7236?
Answer:
Greatest Common Factor of 7229 and 7236 = 1
Step 1: Find the prime factorization of 7229
7229 = 7229
Step 2: Find the prime factorization of 7236
7236 = 2 x 2 x 3 x 3 x 3 x 67
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 7229 and 7236 is 1