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 3460, 3467 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3460 and 3467 is 1.
GCF(3460,3467) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3460
2 | 3460 |
2 | 1730 |
5 | 865 |
173 | 173 |
1 |
Prime factors of 3460 are 2,5,173. Prime factorization of 3460 in exponential form is:
3460 = 22×51×1731
Prime Factorization of 3467
3467 | 3467 |
1 |
Prime factors of 3467 are 3467. Prime factorization of 3467 in exponential form is:
3467 = 34671
∴ So by taking common prime factors GCF of 3460 and 3467 is 1
Factors of 3460
List of positive integer factors of 3460 that divides 3460 without a remainder.
1,2,4,5,10,20,173,346,692,865,1730,3460
Factors of 3467
List of positive integer factors of 3467 that divides 3467 without a remainder.
1,3467
Greatest Common Factor
We found the factors and prime factorization of 3460 and 3467. The biggest common factor number is the GCF number.
So the greatest common factor 3460 and 3467 is 1.
Also check out the Least Common Multiple of 3460 and 3467
(i) The GCF of 3460 and 3467 is associative
GCF of 3460 and 3467 = GCF of 3467 and 3460
1. What is the GCF of 3460 and 3467?
Answer: GCF of 3460 and 3467 is 1.
2. What are the Factors of 3460?
Answer: Factors of 3460 are 1, 2, 4, 5, 10, 20, 173, 346, 692, 865, 1730, 3460. There are 12 integers that are factors of 3460. The greatest factor of 3460 is 3460.
3. What are the Factors of 3467?
Answer: Factors of 3467 are 1, 3467. There are 2 integers that are factors of 3467. The greatest factor of 3467 is 3467.
4. How to Find the GCF of 3460 and 3467?
Answer:
Greatest Common Factor of 3460 and 3467 = 1
Step 1: Find the prime factorization of 3460
3460 = 2 x 2 x 5 x 173
Step 2: Find the prime factorization of 3467
3467 = 3467
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 3460 and 3467 is 1