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 9414, 9420 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9414 and 9420 is 6.
GCF(9414,9420) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9414
2 | 9414 |
3 | 4707 |
3 | 1569 |
523 | 523 |
1 |
Prime factors of 9414 are 2,3,523. Prime factorization of 9414 in exponential form is:
9414 = 21×32×5231
Prime Factorization of 9420
2 | 9420 |
2 | 4710 |
3 | 2355 |
5 | 785 |
157 | 157 |
1 |
Prime factors of 9420 are 2,3,5,157. Prime factorization of 9420 in exponential form is:
9420 = 22×31×51×1571
∴ So by taking common prime factors GCF of 9414 and 9420 is 6
Factors of 9414
List of positive integer factors of 9414 that divides 9414 without a remainder.
1,2,3,6,9,18,523,1046,1569,3138,4707,9414
Factors of 9420
List of positive integer factors of 9420 that divides 9420 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,157,314,471,628,785,942,1570,1884,2355,3140,4710,9420
Greatest Common Factor
We found the factors and prime factorization of 9414 and 9420. The biggest common factor number is the GCF number.
So the greatest common factor 9414 and 9420 is 6.
Also check out the Least Common Multiple of 9414 and 9420
(i) The GCF of 9414 and 9420 is associative
GCF of 9414 and 9420 = GCF of 9420 and 9414
1. What is the GCF of 9414 and 9420?
Answer: GCF of 9414 and 9420 is 6.
2. What are the Factors of 9414?
Answer: Factors of 9414 are 1, 2, 3, 6, 9, 18, 523, 1046, 1569, 3138, 4707, 9414. There are 12 integers that are factors of 9414. The greatest factor of 9414 is 9414.
3. What are the Factors of 9420?
Answer: Factors of 9420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 157, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 4710, 9420. There are 24 integers that are factors of 9420. The greatest factor of 9420 is 9420.
4. How to Find the GCF of 9414 and 9420?
Answer:
Greatest Common Factor of 9414 and 9420 = 6
Step 1: Find the prime factorization of 9414
9414 = 2 x 3 x 3 x 523
Step 2: Find the prime factorization of 9420
9420 = 2 x 2 x 3 x 5 x 157
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 9414 and 9420 is 6