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 3458, 3464 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3458 and 3464 is 2.
GCF(3458,3464) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3458
2 | 3458 |
7 | 1729 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 3458 are 2,7,13,19. Prime factorization of 3458 in exponential form is:
3458 = 21×71×131×191
Prime Factorization of 3464
2 | 3464 |
2 | 1732 |
2 | 866 |
433 | 433 |
1 |
Prime factors of 3464 are 2,433. Prime factorization of 3464 in exponential form is:
3464 = 23×4331
∴ So by taking common prime factors GCF of 3458 and 3464 is 2
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
Factors of 3464
List of positive integer factors of 3464 that divides 3464 without a remainder.
1,2,4,8,433,866,1732,3464
Greatest Common Factor
We found the factors and prime factorization of 3458 and 3464. The biggest common factor number is the GCF number.
So the greatest common factor 3458 and 3464 is 2.
Also check out the Least Common Multiple of 3458 and 3464
(i) The GCF of 3458 and 3464 is associative
GCF of 3458 and 3464 = GCF of 3464 and 3458
1. What is the GCF of 3458 and 3464?
Answer: GCF of 3458 and 3464 is 2.
2. 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.
3. What are the Factors of 3464?
Answer: Factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464. There are 8 integers that are factors of 3464. The greatest factor of 3464 is 3464.
4. How to Find the GCF of 3458 and 3464?
Answer:
Greatest Common Factor of 3458 and 3464 = 2
Step 1: Find the prime factorization of 3458
3458 = 2 x 7 x 13 x 19
Step 2: Find the prime factorization of 3464
3464 = 2 x 2 x 2 x 433
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 3458 and 3464 is 2