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 4344, 4352 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4344 and 4352 is 8.
GCF(4344,4352) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4344
2 | 4344 |
2 | 2172 |
2 | 1086 |
3 | 543 |
181 | 181 |
1 |
Prime factors of 4344 are 2,3,181. Prime factorization of 4344 in exponential form is:
4344 = 23×31×1811
Prime Factorization of 4352
2 | 4352 |
2 | 2176 |
2 | 1088 |
2 | 544 |
2 | 272 |
2 | 136 |
2 | 68 |
2 | 34 |
17 | 17 |
1 |
Prime factors of 4352 are 2,17. Prime factorization of 4352 in exponential form is:
4352 = 28×171
∴ So by taking common prime factors GCF of 4344 and 4352 is 8
Factors of 4344
List of positive integer factors of 4344 that divides 4344 without a remainder.
1,2,3,4,6,8,12,24,181,362,543,724,1086,1448,2172,4344
Factors of 4352
List of positive integer factors of 4352 that divides 4352 without a remainder.
1,2,4,8,16,17,32,34,64,68,128,136,256,272,544,1088,2176,4352
Greatest Common Factor
We found the factors and prime factorization of 4344 and 4352. The biggest common factor number is the GCF number.
So the greatest common factor 4344 and 4352 is 8.
Also check out the Least Common Multiple of 4344 and 4352
(i) The GCF of 4344 and 4352 is associative
GCF of 4344 and 4352 = GCF of 4352 and 4344
1. What is the GCF of 4344 and 4352?
Answer: GCF of 4344 and 4352 is 8.
2. What are the Factors of 4344?
Answer: Factors of 4344 are 1, 2, 3, 4, 6, 8, 12, 24, 181, 362, 543, 724, 1086, 1448, 2172, 4344. There are 16 integers that are factors of 4344. The greatest factor of 4344 is 4344.
3. What are the Factors of 4352?
Answer: Factors of 4352 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352. There are 18 integers that are factors of 4352. The greatest factor of 4352 is 4352.
4. How to Find the GCF of 4344 and 4352?
Answer:
Greatest Common Factor of 4344 and 4352 = 8
Step 1: Find the prime factorization of 4344
4344 = 2 x 2 x 2 x 3 x 181
Step 2: Find the prime factorization of 4352
4352 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17
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 4344 and 4352 is 8