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 4368, 4376 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4368 and 4376 is 8.
GCF(4368,4376) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 4376
2 | 4376 |
2 | 2188 |
2 | 1094 |
547 | 547 |
1 |
Prime factors of 4376 are 2,547. Prime factorization of 4376 in exponential form is:
4376 = 23×5471
∴ So by taking common prime factors GCF of 4368 and 4376 is 8
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
Factors of 4376
List of positive integer factors of 4376 that divides 4376 without a remainder.
1,2,4,8,547,1094,2188,4376
Greatest Common Factor
We found the factors and prime factorization of 4368 and 4376. The biggest common factor number is the GCF number.
So the greatest common factor 4368 and 4376 is 8.
Also check out the Least Common Multiple of 4368 and 4376
(i) The GCF of 4368 and 4376 is associative
GCF of 4368 and 4376 = GCF of 4376 and 4368
1. What is the GCF of 4368 and 4376?
Answer: GCF of 4368 and 4376 is 8.
2. 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.
3. What are the Factors of 4376?
Answer: Factors of 4376 are 1, 2, 4, 8, 547, 1094, 2188, 4376. There are 8 integers that are factors of 4376. The greatest factor of 4376 is 4376.
4. How to Find the GCF of 4368 and 4376?
Answer:
Greatest Common Factor of 4368 and 4376 = 8
Step 1: Find the prime factorization of 4368
4368 = 2 x 2 x 2 x 2 x 3 x 7 x 13
Step 2: Find the prime factorization of 4376
4376 = 2 x 2 x 2 x 547
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 4368 and 4376 is 8