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 7133, 7136 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7133 and 7136 is 1.
GCF(7133,7136) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7133
7 | 7133 |
1019 | 1019 |
1 |
Prime factors of 7133 are 7,1019. Prime factorization of 7133 in exponential form is:
7133 = 71×10191
Prime Factorization of 7136
2 | 7136 |
2 | 3568 |
2 | 1784 |
2 | 892 |
2 | 446 |
223 | 223 |
1 |
Prime factors of 7136 are 2,223. Prime factorization of 7136 in exponential form is:
7136 = 25×2231
∴ So by taking common prime factors GCF of 7133 and 7136 is 1
Factors of 7133
List of positive integer factors of 7133 that divides 7133 without a remainder.
1,7,1019,7133
Factors of 7136
List of positive integer factors of 7136 that divides 7136 without a remainder.
1,2,4,8,16,32,223,446,892,1784,3568,7136
Greatest Common Factor
We found the factors and prime factorization of 7133 and 7136. The biggest common factor number is the GCF number.
So the greatest common factor 7133 and 7136 is 1.
Also check out the Least Common Multiple of 7133 and 7136
(i) The GCF of 7133 and 7136 is associative
GCF of 7133 and 7136 = GCF of 7136 and 7133
1. What is the GCF of 7133 and 7136?
Answer: GCF of 7133 and 7136 is 1.
2. What are the Factors of 7133?
Answer: Factors of 7133 are 1, 7, 1019, 7133. There are 4 integers that are factors of 7133. The greatest factor of 7133 is 7133.
3. What are the Factors of 7136?
Answer: Factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136. There are 12 integers that are factors of 7136. The greatest factor of 7136 is 7136.
4. How to Find the GCF of 7133 and 7136?
Answer:
Greatest Common Factor of 7133 and 7136 = 1
Step 1: Find the prime factorization of 7133
7133 = 7 x 1019
Step 2: Find the prime factorization of 7136
7136 = 2 x 2 x 2 x 2 x 2 x 223
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 7133 and 7136 is 1