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 67029, 67032 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 67029 and 67032 is 3.
GCF(67029,67032) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 67029
3 | 67029 |
22343 | 22343 |
1 |
Prime factors of 67029 are 3,22343. Prime factorization of 67029 in exponential form is:
67029 = 31×223431
Prime Factorization of 67032
2 | 67032 |
2 | 33516 |
2 | 16758 |
3 | 8379 |
3 | 2793 |
7 | 931 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 67032 are 2,3,7,19. Prime factorization of 67032 in exponential form is:
67032 = 23×32×72×191
∴ So by taking common prime factors GCF of 67029 and 67032 is 3
Factors of 67029
List of positive integer factors of 67029 that divides 67029 without a remainder.
1,3,22343,67029
Factors of 67032
List of positive integer factors of 67032 that divides 67032 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,49,56,57,63,72,76,84,98,114,126,133,147,152,168,171,196,228,252,266,294,342,392,399,441,456,504,532,588,684,798,882,931,1064,1176,1197,1368,1596,1764,1862,2394,2793,3192,3528,3724,4788,5586,7448,8379,9576,11172,16758,22344,33516,67032
Greatest Common Factor
We found the factors and prime factorization of 67029 and 67032. The biggest common factor number is the GCF number.
So the greatest common factor 67029 and 67032 is 3.
Also check out the Least Common Multiple of 67029 and 67032
(i) The GCF of 67029 and 67032 is associative
GCF of 67029 and 67032 = GCF of 67032 and 67029
1. What is the GCF of 67029 and 67032?
Answer: GCF of 67029 and 67032 is 3.
2. What are the Factors of 67029?
Answer: Factors of 67029 are 1, 3, 22343, 67029. There are 4 integers that are factors of 67029. The greatest factor of 67029 is 67029.
3. What are the Factors of 67032?
Answer: Factors of 67032 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 49, 56, 57, 63, 72, 76, 84, 98, 114, 126, 133, 147, 152, 168, 171, 196, 228, 252, 266, 294, 342, 392, 399, 441, 456, 504, 532, 588, 684, 798, 882, 931, 1064, 1176, 1197, 1368, 1596, 1764, 1862, 2394, 2793, 3192, 3528, 3724, 4788, 5586, 7448, 8379, 9576, 11172, 16758, 22344, 33516, 67032. There are 72 integers that are factors of 67032. The greatest factor of 67032 is 67032.
4. How to Find the GCF of 67029 and 67032?
Answer:
Greatest Common Factor of 67029 and 67032 = 3
Step 1: Find the prime factorization of 67029
67029 = 3 x 22343
Step 2: Find the prime factorization of 67032
67032 = 2 x 2 x 2 x 3 x 3 x 7 x 7 x 19
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 67029 and 67032 is 3