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 36029, 36036 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 36029 and 36036 is 7.
GCF(36029,36036) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 36029
7 | 36029 |
5147 | 5147 |
1 |
Prime factors of 36029 are 7,5147. Prime factorization of 36029 in exponential form is:
36029 = 71×51471
Prime Factorization of 36036
2 | 36036 |
2 | 18018 |
3 | 9009 |
3 | 3003 |
7 | 1001 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 36036 are 2,3,7,11,13. Prime factorization of 36036 in exponential form is:
36036 = 22×32×71×111×131
∴ So by taking common prime factors GCF of 36029 and 36036 is 7
Factors of 36029
List of positive integer factors of 36029 that divides 36029 without a remainder.
1,7,5147,36029
Factors of 36036
List of positive integer factors of 36036 that divides 36036 without a remainder.
1,2,3,4,6,7,9,11,12,13,14,18,21,22,26,28,33,36,39,42,44,52,63,66,77,78,84,91,99,117,126,132,143,154,156,182,198,231,234,252,273,286,308,364,396,429,462,468,546,572,693,819,858,924,1001,1092,1287,1386,1638,1716,2002,2574,2772,3003,3276,4004,5148,6006,9009,12012,18018,36036
Greatest Common Factor
We found the factors and prime factorization of 36029 and 36036. The biggest common factor number is the GCF number.
So the greatest common factor 36029 and 36036 is 7.
Also check out the Least Common Multiple of 36029 and 36036
(i) The GCF of 36029 and 36036 is associative
GCF of 36029 and 36036 = GCF of 36036 and 36029
1. What is the GCF of 36029 and 36036?
Answer: GCF of 36029 and 36036 is 7.
2. What are the Factors of 36029?
Answer: Factors of 36029 are 1, 7, 5147, 36029. There are 4 integers that are factors of 36029. The greatest factor of 36029 is 36029.
3. What are the Factors of 36036?
Answer: Factors of 36036 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 13, 14, 18, 21, 22, 26, 28, 33, 36, 39, 42, 44, 52, 63, 66, 77, 78, 84, 91, 99, 117, 126, 132, 143, 154, 156, 182, 198, 231, 234, 252, 273, 286, 308, 364, 396, 429, 462, 468, 546, 572, 693, 819, 858, 924, 1001, 1092, 1287, 1386, 1638, 1716, 2002, 2574, 2772, 3003, 3276, 4004, 5148, 6006, 9009, 12012, 18018, 36036. There are 72 integers that are factors of 36036. The greatest factor of 36036 is 36036.
4. How to Find the GCF of 36029 and 36036?
Answer:
Greatest Common Factor of 36029 and 36036 = 7
Step 1: Find the prime factorization of 36029
36029 = 7 x 5147
Step 2: Find the prime factorization of 36036
36036 = 2 x 2 x 3 x 3 x 7 x 11 x 13
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 36029 and 36036 is 7