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 4684, 4692 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4684 and 4692 is 4.
GCF(4684,4692) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4684
2 | 4684 |
2 | 2342 |
1171 | 1171 |
1 |
Prime factors of 4684 are 2,1171. Prime factorization of 4684 in exponential form is:
4684 = 22×11711
Prime Factorization of 4692
2 | 4692 |
2 | 2346 |
3 | 1173 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 4692 are 2,3,17,23. Prime factorization of 4692 in exponential form is:
4692 = 22×31×171×231
∴ So by taking common prime factors GCF of 4684 and 4692 is 4
Factors of 4684
List of positive integer factors of 4684 that divides 4684 without a remainder.
1,2,4,1171,2342,4684
Factors of 4692
List of positive integer factors of 4692 that divides 4692 without a remainder.
1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692
Greatest Common Factor
We found the factors and prime factorization of 4684 and 4692. The biggest common factor number is the GCF number.
So the greatest common factor 4684 and 4692 is 4.
Also check out the Least Common Multiple of 4684 and 4692
(i) The GCF of 4684 and 4692 is associative
GCF of 4684 and 4692 = GCF of 4692 and 4684
1. What is the GCF of 4684 and 4692?
Answer: GCF of 4684 and 4692 is 4.
2. What are the Factors of 4684?
Answer: Factors of 4684 are 1, 2, 4, 1171, 2342, 4684. There are 6 integers that are factors of 4684. The greatest factor of 4684 is 4684.
3. What are the Factors of 4692?
Answer: Factors of 4692 are 1, 2, 3, 4, 6, 12, 17, 23, 34, 46, 51, 68, 69, 92, 102, 138, 204, 276, 391, 782, 1173, 1564, 2346, 4692. There are 24 integers that are factors of 4692. The greatest factor of 4692 is 4692.
4. How to Find the GCF of 4684 and 4692?
Answer:
Greatest Common Factor of 4684 and 4692 = 4
Step 1: Find the prime factorization of 4684
4684 = 2 x 2 x 1171
Step 2: Find the prime factorization of 4692
4692 = 2 x 2 x 3 x 17 x 23
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 4684 and 4692 is 4