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 5470, 5476 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5470 and 5476 is 2.
GCF(5470,5476) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5470
2 | 5470 |
5 | 2735 |
547 | 547 |
1 |
Prime factors of 5470 are 2,5,547. Prime factorization of 5470 in exponential form is:
5470 = 21×51×5471
Prime Factorization of 5476
2 | 5476 |
2 | 2738 |
37 | 1369 |
37 | 37 |
1 |
Prime factors of 5476 are 2,37. Prime factorization of 5476 in exponential form is:
5476 = 22×372
∴ So by taking common prime factors GCF of 5470 and 5476 is 2
Factors of 5470
List of positive integer factors of 5470 that divides 5470 without a remainder.
1,2,5,10,547,1094,2735,5470
Factors of 5476
List of positive integer factors of 5476 that divides 5476 without a remainder.
1,2,4,37,74,148,1369,2738,5476
Greatest Common Factor
We found the factors and prime factorization of 5470 and 5476. The biggest common factor number is the GCF number.
So the greatest common factor 5470 and 5476 is 2.
Also check out the Least Common Multiple of 5470 and 5476
(i) The GCF of 5470 and 5476 is associative
GCF of 5470 and 5476 = GCF of 5476 and 5470
1. What is the GCF of 5470 and 5476?
Answer: GCF of 5470 and 5476 is 2.
2. What are the Factors of 5470?
Answer: Factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470. There are 8 integers that are factors of 5470. The greatest factor of 5470 is 5470.
3. What are the Factors of 5476?
Answer: Factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476. There are 9 integers that are factors of 5476. The greatest factor of 5476 is 5476.
4. How to Find the GCF of 5470 and 5476?
Answer:
Greatest Common Factor of 5470 and 5476 = 2
Step 1: Find the prime factorization of 5470
5470 = 2 x 5 x 547
Step 2: Find the prime factorization of 5476
5476 = 2 x 2 x 37 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 5470 and 5476 is 2