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 7398, 7400 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7398 and 7400 is 2.
GCF(7398,7400) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7398
2 | 7398 |
3 | 3699 |
3 | 1233 |
3 | 411 |
137 | 137 |
1 |
Prime factors of 7398 are 2,3,137. Prime factorization of 7398 in exponential form is:
7398 = 21×33×1371
Prime Factorization of 7400
2 | 7400 |
2 | 3700 |
2 | 1850 |
5 | 925 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 7400 are 2,5,37. Prime factorization of 7400 in exponential form is:
7400 = 23×52×371
∴ So by taking common prime factors GCF of 7398 and 7400 is 2
Factors of 7398
List of positive integer factors of 7398 that divides 7398 without a remainder.
1,2,3,6,9,18,27,54,137,274,411,822,1233,2466,3699,7398
Factors of 7400
List of positive integer factors of 7400 that divides 7400 without a remainder.
1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400
Greatest Common Factor
We found the factors and prime factorization of 7398 and 7400. The biggest common factor number is the GCF number.
So the greatest common factor 7398 and 7400 is 2.
Also check out the Least Common Multiple of 7398 and 7400
(i) The GCF of 7398 and 7400 is associative
GCF of 7398 and 7400 = GCF of 7400 and 7398
1. What is the GCF of 7398 and 7400?
Answer: GCF of 7398 and 7400 is 2.
2. What are the Factors of 7398?
Answer: Factors of 7398 are 1, 2, 3, 6, 9, 18, 27, 54, 137, 274, 411, 822, 1233, 2466, 3699, 7398. There are 16 integers that are factors of 7398. The greatest factor of 7398 is 7398.
3. What are the Factors of 7400?
Answer: Factors of 7400 are 1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700, 7400. There are 24 integers that are factors of 7400. The greatest factor of 7400 is 7400.
4. How to Find the GCF of 7398 and 7400?
Answer:
Greatest Common Factor of 7398 and 7400 = 2
Step 1: Find the prime factorization of 7398
7398 = 2 x 3 x 3 x 3 x 137
Step 2: Find the prime factorization of 7400
7400 = 2 x 2 x 2 x 5 x 5 x 37
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 7398 and 7400 is 2