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 36312, 36318 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36312 and 36318 is 6.
GCF(36312,36318) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36312
2 | 36312 |
2 | 18156 |
2 | 9078 |
3 | 4539 |
17 | 1513 |
89 | 89 |
1 |
Prime factors of 36312 are 2,3,17,89. Prime factorization of 36312 in exponential form is:
36312 = 23×31×171×891
Prime Factorization of 36318
2 | 36318 |
3 | 18159 |
6053 | 6053 |
1 |
Prime factors of 36318 are 2,3,6053. Prime factorization of 36318 in exponential form is:
36318 = 21×31×60531
∴ So by taking common prime factors GCF of 36312 and 36318 is 6
Factors of 36312
List of positive integer factors of 36312 that divides 36312 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,89,102,136,178,204,267,356,408,534,712,1068,1513,2136,3026,4539,6052,9078,12104,18156,36312
Factors of 36318
List of positive integer factors of 36318 that divides 36318 without a remainder.
1,2,3,6,6053,12106,18159,36318
Greatest Common Factor
We found the factors and prime factorization of 36312 and 36318. The biggest common factor number is the GCF number.
So the greatest common factor 36312 and 36318 is 6.
Also check out the Least Common Multiple of 36312 and 36318
(i) The GCF of 36312 and 36318 is associative
GCF of 36312 and 36318 = GCF of 36318 and 36312
1. What is the GCF of 36312 and 36318?
Answer: GCF of 36312 and 36318 is 6.
2. What are the Factors of 36312?
Answer: Factors of 36312 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 89, 102, 136, 178, 204, 267, 356, 408, 534, 712, 1068, 1513, 2136, 3026, 4539, 6052, 9078, 12104, 18156, 36312. There are 32 integers that are factors of 36312. The greatest factor of 36312 is 36312.
3. What are the Factors of 36318?
Answer: Factors of 36318 are 1, 2, 3, 6, 6053, 12106, 18159, 36318. There are 8 integers that are factors of 36318. The greatest factor of 36318 is 36318.
4. How to Find the GCF of 36312 and 36318?
Answer:
Greatest Common Factor of 36312 and 36318 = 6
Step 1: Find the prime factorization of 36312
36312 = 2 x 2 x 2 x 3 x 17 x 89
Step 2: Find the prime factorization of 36318
36318 = 2 x 3 x 6053
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 36312 and 36318 is 6