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 4430, 4436 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4430 and 4436 is 2.
GCF(4430,4436) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4430
2 | 4430 |
5 | 2215 |
443 | 443 |
1 |
Prime factors of 4430 are 2,5,443. Prime factorization of 4430 in exponential form is:
4430 = 21×51×4431
Prime Factorization of 4436
2 | 4436 |
2 | 2218 |
1109 | 1109 |
1 |
Prime factors of 4436 are 2,1109. Prime factorization of 4436 in exponential form is:
4436 = 22×11091
∴ So by taking common prime factors GCF of 4430 and 4436 is 2
Factors of 4430
List of positive integer factors of 4430 that divides 4430 without a remainder.
1,2,5,10,443,886,2215,4430
Factors of 4436
List of positive integer factors of 4436 that divides 4436 without a remainder.
1,2,4,1109,2218,4436
Greatest Common Factor
We found the factors and prime factorization of 4430 and 4436. The biggest common factor number is the GCF number.
So the greatest common factor 4430 and 4436 is 2.
Also check out the Least Common Multiple of 4430 and 4436
(i) The GCF of 4430 and 4436 is associative
GCF of 4430 and 4436 = GCF of 4436 and 4430
1. What is the GCF of 4430 and 4436?
Answer: GCF of 4430 and 4436 is 2.
2. What are the Factors of 4430?
Answer: Factors of 4430 are 1, 2, 5, 10, 443, 886, 2215, 4430. There are 8 integers that are factors of 4430. The greatest factor of 4430 is 4430.
3. What are the Factors of 4436?
Answer: Factors of 4436 are 1, 2, 4, 1109, 2218, 4436. There are 6 integers that are factors of 4436. The greatest factor of 4436 is 4436.
4. How to Find the GCF of 4430 and 4436?
Answer:
Greatest Common Factor of 4430 and 4436 = 2
Step 1: Find the prime factorization of 4430
4430 = 2 x 5 x 443
Step 2: Find the prime factorization of 4436
4436 = 2 x 2 x 1109
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 4430 and 4436 is 2