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 4328, 4336 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4328 and 4336 is 8.
GCF(4328,4336) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4328
2 | 4328 |
2 | 2164 |
2 | 1082 |
541 | 541 |
1 |
Prime factors of 4328 are 2,541. Prime factorization of 4328 in exponential form is:
4328 = 23×5411
Prime Factorization of 4336
2 | 4336 |
2 | 2168 |
2 | 1084 |
2 | 542 |
271 | 271 |
1 |
Prime factors of 4336 are 2,271. Prime factorization of 4336 in exponential form is:
4336 = 24×2711
∴ So by taking common prime factors GCF of 4328 and 4336 is 8
Factors of 4328
List of positive integer factors of 4328 that divides 4328 without a remainder.
1,2,4,8,541,1082,2164,4328
Factors of 4336
List of positive integer factors of 4336 that divides 4336 without a remainder.
1,2,4,8,16,271,542,1084,2168,4336
Greatest Common Factor
We found the factors and prime factorization of 4328 and 4336. The biggest common factor number is the GCF number.
So the greatest common factor 4328 and 4336 is 8.
Also check out the Least Common Multiple of 4328 and 4336
(i) The GCF of 4328 and 4336 is associative
GCF of 4328 and 4336 = GCF of 4336 and 4328
1. What is the GCF of 4328 and 4336?
Answer: GCF of 4328 and 4336 is 8.
2. What are the Factors of 4328?
Answer: Factors of 4328 are 1, 2, 4, 8, 541, 1082, 2164, 4328. There are 8 integers that are factors of 4328. The greatest factor of 4328 is 4328.
3. What are the Factors of 4336?
Answer: Factors of 4336 are 1, 2, 4, 8, 16, 271, 542, 1084, 2168, 4336. There are 10 integers that are factors of 4336. The greatest factor of 4336 is 4336.
4. How to Find the GCF of 4328 and 4336?
Answer:
Greatest Common Factor of 4328 and 4336 = 8
Step 1: Find the prime factorization of 4328
4328 = 2 x 2 x 2 x 541
Step 2: Find the prime factorization of 4336
4336 = 2 x 2 x 2 x 2 x 271
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 4328 and 4336 is 8