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 824, 828 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 824 and 828 is 4.
GCF(824,828) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 824
2 | 824 |
2 | 412 |
2 | 206 |
103 | 103 |
1 |
Prime factors of 824 are 2,103. Prime factorization of 824 in exponential form is:
824 = 23×1031
Prime Factorization of 828
2 | 828 |
2 | 414 |
3 | 207 |
3 | 69 |
23 | 23 |
1 |
Prime factors of 828 are 2,3,23. Prime factorization of 828 in exponential form is:
828 = 22×32×231
∴ So by taking common prime factors GCF of 824 and 828 is 4
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors and prime factorization of 824 and 828. The biggest common factor number is the GCF number.
So the greatest common factor 824 and 828 is 4.
Also check out the Least Common Multiple of 824 and 828
(i) The GCF of 824 and 828 is associative
GCF of 824 and 828 = GCF of 828 and 824
1. What is the GCF of 824 and 828?
Answer: GCF of 824 and 828 is 4.
2. What are the Factors of 824?
Answer: Factors of 824 are 1, 2, 4, 8, 103, 206, 412, 824. There are 8 integers that are factors of 824. The greatest factor of 824 is 824.
3. What are the Factors of 828?
Answer: Factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828. There are 18 integers that are factors of 828. The greatest factor of 828 is 828.
4. How to Find the GCF of 824 and 828?
Answer:
Greatest Common Factor of 824 and 828 = 4
Step 1: Find the prime factorization of 824
824 = 2 x 2 x 2 x 103
Step 2: Find the prime factorization of 828
828 = 2 x 2 x 3 x 3 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 824 and 828 is 4