Greatest Common Factor of 4820 and 4825

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 4820, 4825 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4820 and 4825 is 5.

GCF(4820,4825) = 5

GCF of 4820 and 4825

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4820 and 4825

GCF of 4820 and 4825 is 5

Prime Factorization of 4820


2 4820
2 2410
5 1205
241 241
1

Prime factors of 4820 are 2,5,241. Prime factorization of 4820 in exponential form is:

4820 = 22×51×2411

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 4820 and 4825 is 5

Greatest Common Factor of 4820 and 4825 by matching factors method

Factors of 4820

List of positive integer factors of 4820 that divides 4820 without a remainder.

1,2,4,5,10,20,241,482,964,1205,2410,4820

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 4820 and 4825. The biggest common factor number is the GCF number.
So the greatest common factor 4820 and 4825 is 5.

Also check out the Least Common Multiple of 4820 and 4825

Properties of GCF 4820 and 4825

(i) The GCF of 4820 and 4825 is associative

GCF of 4820 and 4825 = GCF of 4825 and 4820

Related Greatest Common Factor of 4820

Related Greatest Common Factor of 4825

Frequently Asked Questions on GCF of 4820 and 4825

1. What is the GCF of 4820 and 4825?

Answer: GCF of 4820 and 4825 is 5.

2. What are the Factors of 4820?

Answer: Factors of 4820 are 1, 2, 4, 5, 10, 20, 241, 482, 964, 1205, 2410, 4820. There are 12 integers that are factors of 4820. The greatest factor of 4820 is 4820.

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 4820 and 4825?

Answer:

Greatest Common Factor of 4820 and 4825 = 5

Step 1: Find the prime factorization of 4820

4820 = 2 x 2 x 5 x 241

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 = 5

Step 4: Therefore, the greatest common factor of 4820 and 4825 is 5