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 692, 696 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 692 and 696 is 4.
GCF(692,696) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 692
2 | 692 |
2 | 346 |
173 | 173 |
1 |
Prime factors of 692 are 2,173. Prime factorization of 692 in exponential form is:
692 = 22×1731
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 692 and 696 is 4
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
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 692 and 696. The biggest common factor number is the GCF number.
So the greatest common factor 692 and 696 is 4.
Also check out the Least Common Multiple of 692 and 696
(i) The GCF of 692 and 696 is associative
GCF of 692 and 696 = GCF of 696 and 692
1. What is the GCF of 692 and 696?
Answer: GCF of 692 and 696 is 4.
2. What are the Factors of 692?
Answer: Factors of 692 are 1, 2, 4, 173, 346, 692. There are 6 integers that are factors of 692. The greatest factor of 692 is 692.
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 692 and 696?
Answer:
Greatest Common Factor of 692 and 696 = 4
Step 1: Find the prime factorization of 692
692 = 2 x 2 x 173
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 x 2 = 4
Step 4: Therefore, the greatest common factor of 692 and 696 is 4