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 36309, 36316 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36309 and 36316 is 7.
GCF(36309,36316) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36309
3 | 36309 |
7 | 12103 |
7 | 1729 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 36309 are 3,7,13,19. Prime factorization of 36309 in exponential form is:
36309 = 31×72×131×191
Prime Factorization of 36316
2 | 36316 |
2 | 18158 |
7 | 9079 |
1297 | 1297 |
1 |
Prime factors of 36316 are 2,7,1297. Prime factorization of 36316 in exponential form is:
36316 = 22×71×12971
∴ So by taking common prime factors GCF of 36309 and 36316 is 7
Factors of 36309
List of positive integer factors of 36309 that divides 36309 without a remainder.
1,3,7,13,19,21,39,49,57,91,133,147,247,273,399,637,741,931,1729,1911,2793,5187,12103,36309
Factors of 36316
List of positive integer factors of 36316 that divides 36316 without a remainder.
1,2,4,7,14,28,1297,2594,5188,9079,18158,36316
Greatest Common Factor
We found the factors and prime factorization of 36309 and 36316. The biggest common factor number is the GCF number.
So the greatest common factor 36309 and 36316 is 7.
Also check out the Least Common Multiple of 36309 and 36316
(i) The GCF of 36309 and 36316 is associative
GCF of 36309 and 36316 = GCF of 36316 and 36309
1. What is the GCF of 36309 and 36316?
Answer: GCF of 36309 and 36316 is 7.
2. What are the Factors of 36309?
Answer: Factors of 36309 are 1, 3, 7, 13, 19, 21, 39, 49, 57, 91, 133, 147, 247, 273, 399, 637, 741, 931, 1729, 1911, 2793, 5187, 12103, 36309. There are 24 integers that are factors of 36309. The greatest factor of 36309 is 36309.
3. What are the Factors of 36316?
Answer: Factors of 36316 are 1, 2, 4, 7, 14, 28, 1297, 2594, 5188, 9079, 18158, 36316. There are 12 integers that are factors of 36316. The greatest factor of 36316 is 36316.
4. How to Find the GCF of 36309 and 36316?
Answer:
Greatest Common Factor of 36309 and 36316 = 7
Step 1: Find the prime factorization of 36309
36309 = 3 x 7 x 7 x 13 x 19
Step 2: Find the prime factorization of 36316
36316 = 2 x 2 x 7 x 1297
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 36309 and 36316 is 7