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 4822, 4825 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4822 and 4825 is 1.
GCF(4822,4825) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4822
2 | 4822 |
2411 | 2411 |
1 |
Prime factors of 4822 are 2,2411. Prime factorization of 4822 in exponential form is:
4822 = 21×24111
Prime Factorization of 4825
5 | 4825 |
5 | 965 |
193 | 193 |
1 |
Prime factors of 4825 are 5,193. Prime factorization of 4825 in exponential form is:
4825 = 52×1931
∴ So by taking common prime factors GCF of 4822 and 4825 is 1
Factors of 4822
List of positive integer factors of 4822 that divides 4822 without a remainder.
1,2,2411,4822
Factors of 4825
List of positive integer factors of 4825 that divides 4825 without a remainder.
1,5,25,193,965,4825
Greatest Common Factor
We found the factors and prime factorization of 4822 and 4825. The biggest common factor number is the GCF number.
So the greatest common factor 4822 and 4825 is 1.
Also check out the Least Common Multiple of 4822 and 4825
(i) The GCF of 4822 and 4825 is associative
GCF of 4822 and 4825 = GCF of 4825 and 4822
1. What is the GCF of 4822 and 4825?
Answer: GCF of 4822 and 4825 is 1.
2. What are the Factors of 4822?
Answer: Factors of 4822 are 1, 2, 2411, 4822. There are 4 integers that are factors of 4822. The greatest factor of 4822 is 4822.
3. What are the Factors of 4825?
Answer: Factors of 4825 are 1, 5, 25, 193, 965, 4825. There are 6 integers that are factors of 4825. The greatest factor of 4825 is 4825.
4. How to Find the GCF of 4822 and 4825?
Answer:
Greatest Common Factor of 4822 and 4825 = 1
Step 1: Find the prime factorization of 4822
4822 = 2 x 2411
Step 2: Find the prime factorization of 4825
4825 = 5 x 5 x 193
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 4822 and 4825 is 1