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 4462, 4467 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4462 and 4467 is 1.
GCF(4462,4467) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4462
2 | 4462 |
23 | 2231 |
97 | 97 |
1 |
Prime factors of 4462 are 2,23,97. Prime factorization of 4462 in exponential form is:
4462 = 21×231×971
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 4462 and 4467 is 1
Factors of 4462
List of positive integer factors of 4462 that divides 4462 without a remainder.
1,2,23,46,97,194,2231,4462
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 4462 and 4467. The biggest common factor number is the GCF number.
So the greatest common factor 4462 and 4467 is 1.
Also check out the Least Common Multiple of 4462 and 4467
(i) The GCF of 4462 and 4467 is associative
GCF of 4462 and 4467 = GCF of 4467 and 4462
1. What is the GCF of 4462 and 4467?
Answer: GCF of 4462 and 4467 is 1.
2. What are the Factors of 4462?
Answer: Factors of 4462 are 1, 2, 23, 46, 97, 194, 2231, 4462. There are 8 integers that are factors of 4462. The greatest factor of 4462 is 4462.
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 4462 and 4467?
Answer:
Greatest Common Factor of 4462 and 4467 = 1
Step 1: Find the prime factorization of 4462
4462 = 2 x 23 x 97
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 4462 and 4467 is 1