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 702, 704 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 702 and 704 is 2.
GCF(702,704) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 702
2 | 702 |
3 | 351 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 702 are 2,3,13. Prime factorization of 702 in exponential form is:
702 = 21×33×131
Prime Factorization of 704
2 | 704 |
2 | 352 |
2 | 176 |
2 | 88 |
2 | 44 |
2 | 22 |
11 | 11 |
1 |
Prime factors of 704 are 2,11. Prime factorization of 704 in exponential form is:
704 = 26×111
∴ So by taking common prime factors GCF of 702 and 704 is 2
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors and prime factorization of 702 and 704. The biggest common factor number is the GCF number.
So the greatest common factor 702 and 704 is 2.
Also check out the Least Common Multiple of 702 and 704
(i) The GCF of 702 and 704 is associative
GCF of 702 and 704 = GCF of 704 and 702
1. What is the GCF of 702 and 704?
Answer: GCF of 702 and 704 is 2.
2. What are the Factors of 702?
Answer: Factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702. There are 16 integers that are factors of 702. The greatest factor of 702 is 702.
3. What are the Factors of 704?
Answer: Factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704. There are 14 integers that are factors of 704. The greatest factor of 704 is 704.
4. How to Find the GCF of 702 and 704?
Answer:
Greatest Common Factor of 702 and 704 = 2
Step 1: Find the prime factorization of 702
702 = 2 x 3 x 3 x 3 x 13
Step 2: Find the prime factorization of 704
704 = 2 x 2 x 2 x 2 x 2 x 2 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 702 and 704 is 2