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 4360, 4368 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4360 and 4368 is 8.
GCF(4360,4368) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4360
2 | 4360 |
2 | 2180 |
2 | 1090 |
5 | 545 |
109 | 109 |
1 |
Prime factors of 4360 are 2,5,109. Prime factorization of 4360 in exponential form is:
4360 = 23×51×1091
Prime Factorization of 4368
2 | 4368 |
2 | 2184 |
2 | 1092 |
2 | 546 |
3 | 273 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 4368 are 2,3,7,13. Prime factorization of 4368 in exponential form is:
4368 = 24×31×71×131
∴ So by taking common prime factors GCF of 4360 and 4368 is 8
Factors of 4360
List of positive integer factors of 4360 that divides 4360 without a remainder.
1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360
Factors of 4368
List of positive integer factors of 4368 that divides 4368 without a remainder.
1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,39,42,48,52,56,78,84,91,104,112,156,168,182,208,273,312,336,364,546,624,728,1092,1456,2184,4368
Greatest Common Factor
We found the factors and prime factorization of 4360 and 4368. The biggest common factor number is the GCF number.
So the greatest common factor 4360 and 4368 is 8.
Also check out the Least Common Multiple of 4360 and 4368
(i) The GCF of 4360 and 4368 is associative
GCF of 4360 and 4368 = GCF of 4368 and 4360
1. What is the GCF of 4360 and 4368?
Answer: GCF of 4360 and 4368 is 8.
2. What are the Factors of 4360?
Answer: Factors of 4360 are 1, 2, 4, 5, 8, 10, 20, 40, 109, 218, 436, 545, 872, 1090, 2180, 4360. There are 16 integers that are factors of 4360. The greatest factor of 4360 is 4360.
3. What are the Factors of 4368?
Answer: Factors of 4368 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 52, 56, 78, 84, 91, 104, 112, 156, 168, 182, 208, 273, 312, 336, 364, 546, 624, 728, 1092, 1456, 2184, 4368. There are 40 integers that are factors of 4368. The greatest factor of 4368 is 4368.
4. How to Find the GCF of 4360 and 4368?
Answer:
Greatest Common Factor of 4360 and 4368 = 8
Step 1: Find the prime factorization of 4360
4360 = 2 x 2 x 2 x 5 x 109
Step 2: Find the prime factorization of 4368
4368 = 2 x 2 x 2 x 2 x 3 x 7 x 13
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 4360 and 4368 is 8