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 694, 696 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 694 and 696 is 2.
GCF(694,696) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 694
2 | 694 |
347 | 347 |
1 |
Prime factors of 694 are 2,347. Prime factorization of 694 in exponential form is:
694 = 21×3471
Prime Factorization of 696
2 | 696 |
2 | 348 |
2 | 174 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 696 are 2,3,29. Prime factorization of 696 in exponential form is:
696 = 23×31×291
∴ So by taking common prime factors GCF of 694 and 696 is 2
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors and prime factorization of 694 and 696. The biggest common factor number is the GCF number.
So the greatest common factor 694 and 696 is 2.
Also check out the Least Common Multiple of 694 and 696
(i) The GCF of 694 and 696 is associative
GCF of 694 and 696 = GCF of 696 and 694
1. What is the GCF of 694 and 696?
Answer: GCF of 694 and 696 is 2.
2. What are the Factors of 694?
Answer: Factors of 694 are 1, 2, 347, 694. There are 4 integers that are factors of 694. The greatest factor of 694 is 694.
3. What are the Factors of 696?
Answer: Factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696. There are 16 integers that are factors of 696. The greatest factor of 696 is 696.
4. How to Find the GCF of 694 and 696?
Answer:
Greatest Common Factor of 694 and 696 = 2
Step 1: Find the prime factorization of 694
694 = 2 x 347
Step 2: Find the prime factorization of 696
696 = 2 x 2 x 2 x 3 x 29
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 694 and 696 is 2