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 9380, 9387 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9380 and 9387 is 7.
GCF(9380,9387) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9380
2 | 9380 |
2 | 4690 |
5 | 2345 |
7 | 469 |
67 | 67 |
1 |
Prime factors of 9380 are 2,5,7,67. Prime factorization of 9380 in exponential form is:
9380 = 22×51×71×671
Prime Factorization of 9387
3 | 9387 |
3 | 3129 |
7 | 1043 |
149 | 149 |
1 |
Prime factors of 9387 are 3,7,149. Prime factorization of 9387 in exponential form is:
9387 = 32×71×1491
∴ So by taking common prime factors GCF of 9380 and 9387 is 7
Factors of 9380
List of positive integer factors of 9380 that divides 9380 without a remainder.
1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380
Factors of 9387
List of positive integer factors of 9387 that divides 9387 without a remainder.
1,3,7,9,21,63,149,447,1043,1341,3129,9387
Greatest Common Factor
We found the factors and prime factorization of 9380 and 9387. The biggest common factor number is the GCF number.
So the greatest common factor 9380 and 9387 is 7.
Also check out the Least Common Multiple of 9380 and 9387
(i) The GCF of 9380 and 9387 is associative
GCF of 9380 and 9387 = GCF of 9387 and 9380
1. What is the GCF of 9380 and 9387?
Answer: GCF of 9380 and 9387 is 7.
2. What are the Factors of 9380?
Answer: Factors of 9380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690, 9380. There are 24 integers that are factors of 9380. The greatest factor of 9380 is 9380.
3. What are the Factors of 9387?
Answer: Factors of 9387 are 1, 3, 7, 9, 21, 63, 149, 447, 1043, 1341, 3129, 9387. There are 12 integers that are factors of 9387. The greatest factor of 9387 is 9387.
4. How to Find the GCF of 9380 and 9387?
Answer:
Greatest Common Factor of 9380 and 9387 = 7
Step 1: Find the prime factorization of 9380
9380 = 2 x 2 x 5 x 7 x 67
Step 2: Find the prime factorization of 9387
9387 = 3 x 3 x 7 x 149
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 9380 and 9387 is 7