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 8733, 8736 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8733 and 8736 is 3.
GCF(8733,8736) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8733
3 | 8733 |
41 | 2911 |
71 | 71 |
1 |
Prime factors of 8733 are 3,41,71. Prime factorization of 8733 in exponential form is:
8733 = 31×411×711
Prime Factorization of 8736
2 | 8736 |
2 | 4368 |
2 | 2184 |
2 | 1092 |
2 | 546 |
3 | 273 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 8736 are 2,3,7,13. Prime factorization of 8736 in exponential form is:
8736 = 25×31×71×131
∴ So by taking common prime factors GCF of 8733 and 8736 is 3
Factors of 8733
List of positive integer factors of 8733 that divides 8733 without a remainder.
1,3,41,71,123,213,2911,8733
Factors of 8736
List of positive integer factors of 8736 that divides 8736 without a remainder.
1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,32,39,42,48,52,56,78,84,91,96,104,112,156,168,182,208,224,273,312,336,364,416,546,624,672,728,1092,1248,1456,2184,2912,4368,8736
Greatest Common Factor
We found the factors and prime factorization of 8733 and 8736. The biggest common factor number is the GCF number.
So the greatest common factor 8733 and 8736 is 3.
Also check out the Least Common Multiple of 8733 and 8736
(i) The GCF of 8733 and 8736 is associative
GCF of 8733 and 8736 = GCF of 8736 and 8733
1. What is the GCF of 8733 and 8736?
Answer: GCF of 8733 and 8736 is 3.
2. What are the Factors of 8733?
Answer: Factors of 8733 are 1, 3, 41, 71, 123, 213, 2911, 8733. There are 8 integers that are factors of 8733. The greatest factor of 8733 is 8733.
3. What are the Factors of 8736?
Answer: Factors of 8736 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736. There are 48 integers that are factors of 8736. The greatest factor of 8736 is 8736.
4. How to Find the GCF of 8733 and 8736?
Answer:
Greatest Common Factor of 8733 and 8736 = 3
Step 1: Find the prime factorization of 8733
8733 = 3 x 41 x 71
Step 2: Find the prime factorization of 8736
8736 = 2 x 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 = 3
Step 4: Therefore, the greatest common factor of 8733 and 8736 is 3