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 3453, 3457 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3453 and 3457 is 1.
GCF(3453,3457) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3453
3 | 3453 |
1151 | 1151 |
1 |
Prime factors of 3453 are 3,1151. Prime factorization of 3453 in exponential form is:
3453 = 31×11511
Prime Factorization of 3457
3457 | 3457 |
1 |
Prime factors of 3457 are 3457. Prime factorization of 3457 in exponential form is:
3457 = 34571
∴ So by taking common prime factors GCF of 3453 and 3457 is 1
Factors of 3453
List of positive integer factors of 3453 that divides 3453 without a remainder.
1,3,1151,3453
Factors of 3457
List of positive integer factors of 3457 that divides 3457 without a remainder.
1,3457
Greatest Common Factor
We found the factors and prime factorization of 3453 and 3457. The biggest common factor number is the GCF number.
So the greatest common factor 3453 and 3457 is 1.
Also check out the Least Common Multiple of 3453 and 3457
(i) The GCF of 3453 and 3457 is associative
GCF of 3453 and 3457 = GCF of 3457 and 3453
1. What is the GCF of 3453 and 3457?
Answer: GCF of 3453 and 3457 is 1.
2. What are the Factors of 3453?
Answer: Factors of 3453 are 1, 3, 1151, 3453. There are 4 integers that are factors of 3453. The greatest factor of 3453 is 3453.
3. What are the Factors of 3457?
Answer: Factors of 3457 are 1, 3457. There are 2 integers that are factors of 3457. The greatest factor of 3457 is 3457.
4. How to Find the GCF of 3453 and 3457?
Answer:
Greatest Common Factor of 3453 and 3457 = 1
Step 1: Find the prime factorization of 3453
3453 = 3 x 1151
Step 2: Find the prime factorization of 3457
3457 = 3457
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 3453 and 3457 is 1