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 4460, 4467 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4460 and 4467 is 1.
GCF(4460,4467) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4460
2 | 4460 |
2 | 2230 |
5 | 1115 |
223 | 223 |
1 |
Prime factors of 4460 are 2,5,223. Prime factorization of 4460 in exponential form is:
4460 = 22×51×2231
Prime Factorization of 4467
3 | 4467 |
1489 | 1489 |
1 |
Prime factors of 4467 are 3,1489. Prime factorization of 4467 in exponential form is:
4467 = 31×14891
∴ So by taking common prime factors GCF of 4460 and 4467 is 1
Factors of 4460
List of positive integer factors of 4460 that divides 4460 without a remainder.
1,2,4,5,10,20,223,446,892,1115,2230,4460
Factors of 4467
List of positive integer factors of 4467 that divides 4467 without a remainder.
1,3,1489,4467
Greatest Common Factor
We found the factors and prime factorization of 4460 and 4467. The biggest common factor number is the GCF number.
So the greatest common factor 4460 and 4467 is 1.
Also check out the Least Common Multiple of 4460 and 4467
(i) The GCF of 4460 and 4467 is associative
GCF of 4460 and 4467 = GCF of 4467 and 4460
1. What is the GCF of 4460 and 4467?
Answer: GCF of 4460 and 4467 is 1.
2. What are the Factors of 4460?
Answer: Factors of 4460 are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460. There are 12 integers that are factors of 4460. The greatest factor of 4460 is 4460.
3. What are the Factors of 4467?
Answer: Factors of 4467 are 1, 3, 1489, 4467. There are 4 integers that are factors of 4467. The greatest factor of 4467 is 4467.
4. How to Find the GCF of 4460 and 4467?
Answer:
Greatest Common Factor of 4460 and 4467 = 1
Step 1: Find the prime factorization of 4460
4460 = 2 x 2 x 5 x 223
Step 2: Find the prime factorization of 4467
4467 = 3 x 1489
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 4460 and 4467 is 1