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 3457, 3458 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3457 and 3458 is 1.
GCF(3457,3458) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3457
3457 | 3457 |
1 |
Prime factors of 3457 are 3457. Prime factorization of 3457 in exponential form is:
3457 = 34571
Prime Factorization of 3458
2 | 3458 |
7 | 1729 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 3458 are 2.Prime factorization of 3458 in exponential form is:
3458 = 21×71×131×191
∴ So by taking common prime factors GCF of 3457 and 3458 is 1
Factors of 3457
List of positive integer factors of 3457 that divides 3457 without a remainder.
1,3457
Factors of 3458
List of positive integer factors of 3458 that divides 3458 without a remainder.
1,2,7,13,14,19,26,38,91,133,182,247,266,494,1729,3458
Greatest Common Factor
We found the factors and prime factorization of 3457 and 3458. The biggest common factor number is the GCF number.
So the greatest common factor 3457 and 3458 is 1.
Also check out the Least Common Multiple of 3457 and 3458
(i) The GCF of 3457 and 3458 is associative
GCF of 3457 and 3458 = GCF of 3458 and 3457
1. What is the GCF of 3457 and 3458?
Answer: GCF of 3457 and 3458 is 1.
2. 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.
3. What are the Factors of 3458?
Answer: Factors of 3458 are 1, 2, 7, 13, 14, 19, 26, 38, 91, 133, 182, 247, 266, 494, 1729, 3458. There are 16 integers that are factors of 3458. The greatest factor of 3458 is 3458.
4. How to Find the GCF of 3457 and 3458?
Answer:
Greatest Common Factor of 3457 and 3458 = 1
Step 1: Find the prime factorization of 3457
3457 = 3457
Step 2: Find the prime factorization of 3458
3458 = 2 x 7 x 13 x 19
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 3457 and 3458 is 1