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 9364, 9370 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9364 and 9370 is 2.
GCF(9364,9370) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9364
2 | 9364 |
2 | 4682 |
2341 | 2341 |
1 |
Prime factors of 9364 are 2,2341. Prime factorization of 9364 in exponential form is:
9364 = 22×23411
Prime Factorization of 9370
2 | 9370 |
5 | 4685 |
937 | 937 |
1 |
Prime factors of 9370 are 2,5,937. Prime factorization of 9370 in exponential form is:
9370 = 21×51×9371
∴ So by taking common prime factors GCF of 9364 and 9370 is 2
Factors of 9364
List of positive integer factors of 9364 that divides 9364 without a remainder.
1,2,4,2341,4682,9364
Factors of 9370
List of positive integer factors of 9370 that divides 9370 without a remainder.
1,2,5,10,937,1874,4685,9370
Greatest Common Factor
We found the factors and prime factorization of 9364 and 9370. The biggest common factor number is the GCF number.
So the greatest common factor 9364 and 9370 is 2.
Also check out the Least Common Multiple of 9364 and 9370
(i) The GCF of 9364 and 9370 is associative
GCF of 9364 and 9370 = GCF of 9370 and 9364
1. What is the GCF of 9364 and 9370?
Answer: GCF of 9364 and 9370 is 2.
2. What are the Factors of 9364?
Answer: Factors of 9364 are 1, 2, 4, 2341, 4682, 9364. There are 6 integers that are factors of 9364. The greatest factor of 9364 is 9364.
3. What are the Factors of 9370?
Answer: Factors of 9370 are 1, 2, 5, 10, 937, 1874, 4685, 9370. There are 8 integers that are factors of 9370. The greatest factor of 9370 is 9370.
4. How to Find the GCF of 9364 and 9370?
Answer:
Greatest Common Factor of 9364 and 9370 = 2
Step 1: Find the prime factorization of 9364
9364 = 2 x 2 x 2341
Step 2: Find the prime factorization of 9370
9370 = 2 x 5 x 937
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9364 and 9370 is 2