Greatest Common Factor of 2415 and 2422

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 2415, 2422 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2415 and 2422 is 7.

GCF(2415,2422) = 7

GCF of 2415 and 2422

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

GCF of:
and

Greatest Common Factor of 2415 and 2422

GCF of 2415 and 2422 is 7

Prime Factorization of 2415


3 2415
5 805
7 161
23 23
1

Prime factors of 2415 are 3,5,7,23. Prime factorization of 2415 in exponential form is:

2415 = 31×51×71×231

Prime Factorization of 2422


2 2422
7 1211
173 173
1

Prime factors of 2422 are 2,7,173. Prime factorization of 2422 in exponential form is:

2422 = 21×71×1731

∴ So by taking common prime factors GCF of 2415 and 2422 is 7

Greatest Common Factor of 2415 and 2422 by matching factors method

Factors of 2415

List of positive integer factors of 2415 that divides 2415 without a remainder.

1,3,5,7,15,21,23,35,69,105,115,161,345,483,805,2415

Factors of 2422

List of positive integer factors of 2422 that divides 2422 without a remainder.

1,2,7,14,173,346,1211,2422

Greatest Common Factor

We found the factors and prime factorization of 2415 and 2422. The biggest common factor number is the GCF number.
So the greatest common factor 2415 and 2422 is 7.

Also check out the Least Common Multiple of 2415 and 2422

Properties of GCF 2415 and 2422

(i) The GCF of 2415 and 2422 is associative

GCF of 2415 and 2422 = GCF of 2422 and 2415

Related Greatest Common Factor of 2415

Related Greatest Common Factor of 2422

Frequently Asked Questions on GCF of 2415 and 2422

1. What is the GCF of 2415 and 2422?

Answer: GCF of 2415 and 2422 is 7.

2. What are the Factors of 2415?

Answer: Factors of 2415 are 1, 3, 5, 7, 15, 21, 23, 35, 69, 105, 115, 161, 345, 483, 805, 2415. There are 16 integers that are factors of 2415. The greatest factor of 2415 is 2415.

3. What are the Factors of 2422?

Answer: Factors of 2422 are 1, 2, 7, 14, 173, 346, 1211, 2422. There are 8 integers that are factors of 2422. The greatest factor of 2422 is 2422.

4. How to Find the GCF of 2415 and 2422?

Answer:

Greatest Common Factor of 2415 and 2422 = 7

Step 1: Find the prime factorization of 2415

2415 = 3 x 5 x 7 x 23

Step 2: Find the prime factorization of 2422

2422 = 2 x 7 x 173

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 2415 and 2422 is 7