Greatest Common Factor of 2420 and 2425

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 2420, 2425 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2420 and 2425 is 5.

GCF(2420,2425) = 5

GCF of 2420 and 2425

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

GCF of:
and

Greatest Common Factor of 2420 and 2425

GCF of 2420 and 2425 is 5

Prime Factorization of 2420


2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 2420 are 2,5,11. Prime factorization of 2420 in exponential form is:

2420 = 22×51×112

Prime Factorization of 2425


5 2425
5 485
97 97
1

Prime factors of 2425 are 5,97. Prime factorization of 2425 in exponential form is:

2425 = 52×971

∴ So by taking common prime factors GCF of 2420 and 2425 is 5

Greatest Common Factor of 2420 and 2425 by matching factors method

Factors of 2420

List of positive integer factors of 2420 that divides 2420 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420

Factors of 2425

List of positive integer factors of 2425 that divides 2425 without a remainder.

1,5,25,97,485,2425

Greatest Common Factor

We found the factors and prime factorization of 2420 and 2425. The biggest common factor number is the GCF number.
So the greatest common factor 2420 and 2425 is 5.

Also check out the Least Common Multiple of 2420 and 2425

Properties of GCF 2420 and 2425

(i) The GCF of 2420 and 2425 is associative

GCF of 2420 and 2425 = GCF of 2425 and 2420

Related Greatest Common Factor of 2420

Related Greatest Common Factor of 2425

Frequently Asked Questions on GCF of 2420 and 2425

1. What is the GCF of 2420 and 2425?

Answer: GCF of 2420 and 2425 is 5.

2. What are the Factors of 2420?

Answer: Factors of 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420. There are 18 integers that are factors of 2420. The greatest factor of 2420 is 2420.

3. What are the Factors of 2425?

Answer: Factors of 2425 are 1, 5, 25, 97, 485, 2425. There are 6 integers that are factors of 2425. The greatest factor of 2425 is 2425.

4. How to Find the GCF of 2420 and 2425?

Answer:

Greatest Common Factor of 2420 and 2425 = 5

Step 1: Find the prime factorization of 2420

2420 = 2 x 2 x 5 x 11 x 11

Step 2: Find the prime factorization of 2425

2425 = 5 x 5 x 97

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 2420 and 2425 is 5