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 4828, 4835 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4828 and 4835 is 1.
GCF(4828,4835) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4828
2 | 4828 |
2 | 2414 |
17 | 1207 |
71 | 71 |
1 |
Prime factors of 4828 are 2,17,71. Prime factorization of 4828 in exponential form is:
4828 = 22×171×711
Prime Factorization of 4835
5 | 4835 |
967 | 967 |
1 |
Prime factors of 4835 are 5,967. Prime factorization of 4835 in exponential form is:
4835 = 51×9671
∴ So by taking common prime factors GCF of 4828 and 4835 is 1
Factors of 4828
List of positive integer factors of 4828 that divides 4828 without a remainder.
1,2,4,17,34,68,71,142,284,1207,2414,4828
Factors of 4835
List of positive integer factors of 4835 that divides 4835 without a remainder.
1,5,967,4835
Greatest Common Factor
We found the factors and prime factorization of 4828 and 4835. The biggest common factor number is the GCF number.
So the greatest common factor 4828 and 4835 is 1.
Also check out the Least Common Multiple of 4828 and 4835
(i) The GCF of 4828 and 4835 is associative
GCF of 4828 and 4835 = GCF of 4835 and 4828
1. What is the GCF of 4828 and 4835?
Answer: GCF of 4828 and 4835 is 1.
2. What are the Factors of 4828?
Answer: Factors of 4828 are 1, 2, 4, 17, 34, 68, 71, 142, 284, 1207, 2414, 4828. There are 12 integers that are factors of 4828. The greatest factor of 4828 is 4828.
3. What are the Factors of 4835?
Answer: Factors of 4835 are 1, 5, 967, 4835. There are 4 integers that are factors of 4835. The greatest factor of 4835 is 4835.
4. How to Find the GCF of 4828 and 4835?
Answer:
Greatest Common Factor of 4828 and 4835 = 1
Step 1: Find the prime factorization of 4828
4828 = 2 x 2 x 17 x 71
Step 2: Find the prime factorization of 4835
4835 = 5 x 967
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 4828 and 4835 is 1