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 7356, 7357 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7356 and 7357 is 1.
GCF(7356,7357) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7356
2 | 7356 |
2 | 3678 |
3 | 1839 |
613 | 613 |
1 |
Prime factors of 7356 are 2,3,613. Prime factorization of 7356 in exponential form is:
7356 = 22×31×6131
Prime Factorization of 7357
7 | 7357 |
1051 | 1051 |
1 |
Prime factors of 7357 are 7,1051. Prime factorization of 7357 in exponential form is:
7357 = 71×10511
∴ So by taking common prime factors GCF of 7356 and 7357 is 1
Factors of 7356
List of positive integer factors of 7356 that divides 7356 without a remainder.
1,2,3,4,6,12,613,1226,1839,2452,3678,7356
Factors of 7357
List of positive integer factors of 7357 that divides 7357 without a remainder.
1,7,1051,7357
Greatest Common Factor
We found the factors and prime factorization of 7356 and 7357. The biggest common factor number is the GCF number.
So the greatest common factor 7356 and 7357 is 1.
Also check out the Least Common Multiple of 7356 and 7357
(i) The GCF of 7356 and 7357 is associative
GCF of 7356 and 7357 = GCF of 7357 and 7356
1. What is the GCF of 7356 and 7357?
Answer: GCF of 7356 and 7357 is 1.
2. What are the Factors of 7356?
Answer: Factors of 7356 are 1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678, 7356. There are 12 integers that are factors of 7356. The greatest factor of 7356 is 7356.
3. What are the Factors of 7357?
Answer: Factors of 7357 are 1, 7, 1051, 7357. There are 4 integers that are factors of 7357. The greatest factor of 7357 is 7357.
4. How to Find the GCF of 7356 and 7357?
Answer:
Greatest Common Factor of 7356 and 7357 = 1
Step 1: Find the prime factorization of 7356
7356 = 2 x 2 x 3 x 613
Step 2: Find the prime factorization of 7357
7357 = 7 x 1051
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 7356 and 7357 is 1