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 4502, 4506 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4502 and 4506 is 2.
GCF(4502,4506) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4502
2 | 4502 |
2251 | 2251 |
1 |
Prime factors of 4502 are 2,2251. Prime factorization of 4502 in exponential form is:
4502 = 21×22511
Prime Factorization of 4506
2 | 4506 |
3 | 2253 |
751 | 751 |
1 |
Prime factors of 4506 are 2,3,751. Prime factorization of 4506 in exponential form is:
4506 = 21×31×7511
∴ So by taking common prime factors GCF of 4502 and 4506 is 2
Factors of 4502
List of positive integer factors of 4502 that divides 4502 without a remainder.
1,2,2251,4502
Factors of 4506
List of positive integer factors of 4506 that divides 4506 without a remainder.
1,2,3,6,751,1502,2253,4506
Greatest Common Factor
We found the factors and prime factorization of 4502 and 4506. The biggest common factor number is the GCF number.
So the greatest common factor 4502 and 4506 is 2.
Also check out the Least Common Multiple of 4502 and 4506
(i) The GCF of 4502 and 4506 is associative
GCF of 4502 and 4506 = GCF of 4506 and 4502
1. What is the GCF of 4502 and 4506?
Answer: GCF of 4502 and 4506 is 2.
2. What are the Factors of 4502?
Answer: Factors of 4502 are 1, 2, 2251, 4502. There are 4 integers that are factors of 4502. The greatest factor of 4502 is 4502.
3. What are the Factors of 4506?
Answer: Factors of 4506 are 1, 2, 3, 6, 751, 1502, 2253, 4506. There are 8 integers that are factors of 4506. The greatest factor of 4506 is 4506.
4. How to Find the GCF of 4502 and 4506?
Answer:
Greatest Common Factor of 4502 and 4506 = 2
Step 1: Find the prime factorization of 4502
4502 = 2 x 2251
Step 2: Find the prime factorization of 4506
4506 = 2 x 3 x 751
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 4502 and 4506 is 2