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 7367, 7370 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7367 and 7370 is 1.
GCF(7367,7370) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7367
53 | 7367 |
139 | 139 |
1 |
Prime factors of 7367 are 53,139. Prime factorization of 7367 in exponential form is:
7367 = 531×1391
Prime Factorization of 7370
2 | 7370 |
5 | 3685 |
11 | 737 |
67 | 67 |
1 |
Prime factors of 7370 are 2,5,11,67. Prime factorization of 7370 in exponential form is:
7370 = 21×51×111×671
∴ So by taking common prime factors GCF of 7367 and 7370 is 1
Factors of 7367
List of positive integer factors of 7367 that divides 7367 without a remainder.
1,53,139,7367
Factors of 7370
List of positive integer factors of 7370 that divides 7370 without a remainder.
1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370
Greatest Common Factor
We found the factors and prime factorization of 7367 and 7370. The biggest common factor number is the GCF number.
So the greatest common factor 7367 and 7370 is 1.
Also check out the Least Common Multiple of 7367 and 7370
(i) The GCF of 7367 and 7370 is associative
GCF of 7367 and 7370 = GCF of 7370 and 7367
1. What is the GCF of 7367 and 7370?
Answer: GCF of 7367 and 7370 is 1.
2. What are the Factors of 7367?
Answer: Factors of 7367 are 1, 53, 139, 7367. There are 4 integers that are factors of 7367. The greatest factor of 7367 is 7367.
3. What are the Factors of 7370?
Answer: Factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370. There are 16 integers that are factors of 7370. The greatest factor of 7370 is 7370.
4. How to Find the GCF of 7367 and 7370?
Answer:
Greatest Common Factor of 7367 and 7370 = 1
Step 1: Find the prime factorization of 7367
7367 = 53 x 139
Step 2: Find the prime factorization of 7370
7370 = 2 x 5 x 11 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 7367 and 7370 is 1