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 3473, 3475 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3473 and 3475 is 1.
GCF(3473,3475) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3473
23 | 3473 |
151 | 151 |
1 |
Prime factors of 3473 are 23,151. Prime factorization of 3473 in exponential form is:
3473 = 231×1511
Prime Factorization of 3475
5 | 3475 |
5 | 695 |
139 | 139 |
1 |
Prime factors of 3475 are 5,139. Prime factorization of 3475 in exponential form is:
3475 = 52×1391
∴ So by taking common prime factors GCF of 3473 and 3475 is 1
Factors of 3473
List of positive integer factors of 3473 that divides 3473 without a remainder.
1,23,151,3473
Factors of 3475
List of positive integer factors of 3475 that divides 3475 without a remainder.
1,5,25,139,695,3475
Greatest Common Factor
We found the factors and prime factorization of 3473 and 3475. The biggest common factor number is the GCF number.
So the greatest common factor 3473 and 3475 is 1.
Also check out the Least Common Multiple of 3473 and 3475
(i) The GCF of 3473 and 3475 is associative
GCF of 3473 and 3475 = GCF of 3475 and 3473
1. What is the GCF of 3473 and 3475?
Answer: GCF of 3473 and 3475 is 1.
2. What are the Factors of 3473?
Answer: Factors of 3473 are 1, 23, 151, 3473. There are 4 integers that are factors of 3473. The greatest factor of 3473 is 3473.
3. What are the Factors of 3475?
Answer: Factors of 3475 are 1, 5, 25, 139, 695, 3475. There are 6 integers that are factors of 3475. The greatest factor of 3475 is 3475.
4. How to Find the GCF of 3473 and 3475?
Answer:
Greatest Common Factor of 3473 and 3475 = 1
Step 1: Find the prime factorization of 3473
3473 = 23 x 151
Step 2: Find the prime factorization of 3475
3475 = 5 x 5 x 139
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3473 and 3475 is 1