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 4450, 4456 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4450 and 4456 is 2.
GCF(4450,4456) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4450
2 | 4450 |
5 | 2225 |
5 | 445 |
89 | 89 |
1 |
Prime factors of 4450 are 2,5,89. Prime factorization of 4450 in exponential form is:
4450 = 21×52×891
Prime Factorization of 4456
2 | 4456 |
2 | 2228 |
2 | 1114 |
557 | 557 |
1 |
Prime factors of 4456 are 2,557. Prime factorization of 4456 in exponential form is:
4456 = 23×5571
∴ So by taking common prime factors GCF of 4450 and 4456 is 2
Factors of 4450
List of positive integer factors of 4450 that divides 4450 without a remainder.
1,2,5,10,25,50,89,178,445,890,2225,4450
Factors of 4456
List of positive integer factors of 4456 that divides 4456 without a remainder.
1,2,4,8,557,1114,2228,4456
Greatest Common Factor
We found the factors and prime factorization of 4450 and 4456. The biggest common factor number is the GCF number.
So the greatest common factor 4450 and 4456 is 2.
Also check out the Least Common Multiple of 4450 and 4456
(i) The GCF of 4450 and 4456 is associative
GCF of 4450 and 4456 = GCF of 4456 and 4450
1. What is the GCF of 4450 and 4456?
Answer: GCF of 4450 and 4456 is 2.
2. What are the Factors of 4450?
Answer: Factors of 4450 are 1, 2, 5, 10, 25, 50, 89, 178, 445, 890, 2225, 4450. There are 12 integers that are factors of 4450. The greatest factor of 4450 is 4450.
3. What are the Factors of 4456?
Answer: Factors of 4456 are 1, 2, 4, 8, 557, 1114, 2228, 4456. There are 8 integers that are factors of 4456. The greatest factor of 4456 is 4456.
4. How to Find the GCF of 4450 and 4456?
Answer:
Greatest Common Factor of 4450 and 4456 = 2
Step 1: Find the prime factorization of 4450
4450 = 2 x 5 x 5 x 89
Step 2: Find the prime factorization of 4456
4456 = 2 x 2 x 2 x 557
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 4450 and 4456 is 2