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 7470, 7478 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7470 and 7478 is 2.
GCF(7470,7478) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7470
2 | 7470 |
3 | 3735 |
3 | 1245 |
5 | 415 |
83 | 83 |
1 |
Prime factors of 7470 are 2,3,5,83. Prime factorization of 7470 in exponential form is:
7470 = 21×32×51×831
Prime Factorization of 7478
2 | 7478 |
3739 | 3739 |
1 |
Prime factors of 7478 are 2,3739. Prime factorization of 7478 in exponential form is:
7478 = 21×37391
∴ So by taking common prime factors GCF of 7470 and 7478 is 2
Factors of 7470
List of positive integer factors of 7470 that divides 7470 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470
Factors of 7478
List of positive integer factors of 7478 that divides 7478 without a remainder.
1,2,3739,7478
Greatest Common Factor
We found the factors and prime factorization of 7470 and 7478. The biggest common factor number is the GCF number.
So the greatest common factor 7470 and 7478 is 2.
Also check out the Least Common Multiple of 7470 and 7478
(i) The GCF of 7470 and 7478 is associative
GCF of 7470 and 7478 = GCF of 7478 and 7470
1. What is the GCF of 7470 and 7478?
Answer: GCF of 7470 and 7478 is 2.
2. What are the Factors of 7470?
Answer: Factors of 7470 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470. There are 24 integers that are factors of 7470. The greatest factor of 7470 is 7470.
3. What are the Factors of 7478?
Answer: Factors of 7478 are 1, 2, 3739, 7478. There are 4 integers that are factors of 7478. The greatest factor of 7478 is 7478.
4. How to Find the GCF of 7470 and 7478?
Answer:
Greatest Common Factor of 7470 and 7478 = 2
Step 1: Find the prime factorization of 7470
7470 = 2 x 3 x 3 x 5 x 83
Step 2: Find the prime factorization of 7478
7478 = 2 x 3739
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 7470 and 7478 is 2