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 7029, 7033 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7029 and 7033 is 1.
GCF(7029,7033) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7029
3 | 7029 |
3 | 2343 |
11 | 781 |
71 | 71 |
1 |
Prime factors of 7029 are 3,11,71. Prime factorization of 7029 in exponential form is:
7029 = 32×111×711
Prime Factorization of 7033
13 | 7033 |
541 | 541 |
1 |
Prime factors of 7033 are 13,541. Prime factorization of 7033 in exponential form is:
7033 = 131×5411
∴ So by taking common prime factors GCF of 7029 and 7033 is 1
Factors of 7029
List of positive integer factors of 7029 that divides 7029 without a remainder.
1,3,9,11,33,71,99,213,639,781,2343,7029
Factors of 7033
List of positive integer factors of 7033 that divides 7033 without a remainder.
1,13,541,7033
Greatest Common Factor
We found the factors and prime factorization of 7029 and 7033. The biggest common factor number is the GCF number.
So the greatest common factor 7029 and 7033 is 1.
Also check out the Least Common Multiple of 7029 and 7033
(i) The GCF of 7029 and 7033 is associative
GCF of 7029 and 7033 = GCF of 7033 and 7029
1. What is the GCF of 7029 and 7033?
Answer: GCF of 7029 and 7033 is 1.
2. What are the Factors of 7029?
Answer: Factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029. There are 12 integers that are factors of 7029. The greatest factor of 7029 is 7029.
3. What are the Factors of 7033?
Answer: Factors of 7033 are 1, 13, 541, 7033. There are 4 integers that are factors of 7033. The greatest factor of 7033 is 7033.
4. How to Find the GCF of 7029 and 7033?
Answer:
Greatest Common Factor of 7029 and 7033 = 1
Step 1: Find the prime factorization of 7029
7029 = 3 x 3 x 11 x 71
Step 2: Find the prime factorization of 7033
7033 = 13 x 541
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 7029 and 7033 is 1