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, 4372 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4368 and 4372 is 4.
GCF(4368,4372) = 4
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 4372
2 | 4372 |
2 | 2186 |
1093 | 1093 |
1 |
Prime factors of 4372 are 2,1093. Prime factorization of 4372 in exponential form is:
4372 = 22×10931
∴ So by taking common prime factors GCF of 4368 and 4372 is 4
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 4372
List of positive integer factors of 4372 that divides 4372 without a remainder.
1,2,4,1093,2186,4372
Greatest Common Factor
We found the factors and prime factorization of 4368 and 4372. The biggest common factor number is the GCF number.
So the greatest common factor 4368 and 4372 is 4.
Also check out the Least Common Multiple of 4368 and 4372
(i) The GCF of 4368 and 4372 is associative
GCF of 4368 and 4372 = GCF of 4372 and 4368
1. What is the GCF of 4368 and 4372?
Answer: GCF of 4368 and 4372 is 4.
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 4372?
Answer: Factors of 4372 are 1, 2, 4, 1093, 2186, 4372. There are 6 integers that are factors of 4372. The greatest factor of 4372 is 4372.
4. How to Find the GCF of 4368 and 4372?
Answer:
Greatest Common Factor of 4368 and 4372 = 4
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 4372
4372 = 2 x 2 x 1093
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 4368 and 4372 is 4