Greatest Common Factor of 2404 and 2412

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 2404, 2412 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2404 and 2412 is 4.

GCF(2404,2412) = 4

GCF of 2404 and 2412

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

GCF of:
and

Greatest Common Factor of 2404 and 2412

GCF of 2404 and 2412 is 4

Prime Factorization of 2404


2 2404
2 1202
601 601
1

Prime factors of 2404 are 2,601. Prime factorization of 2404 in exponential form is:

2404 = 22×6011

Prime Factorization of 2412


2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 2412 are 2,3,67. Prime factorization of 2412 in exponential form is:

2412 = 22×32×671

∴ So by taking common prime factors GCF of 2404 and 2412 is 4

Greatest Common Factor of 2404 and 2412 by matching factors method

Factors of 2404

List of positive integer factors of 2404 that divides 2404 without a remainder.

1,2,4,601,1202,2404

Factors of 2412

List of positive integer factors of 2412 that divides 2412 without a remainder.

1,2,3,4,6,9,12,18,36,67,134,201,268,402,603,804,1206,2412

Greatest Common Factor

We found the factors and prime factorization of 2404 and 2412. The biggest common factor number is the GCF number.
So the greatest common factor 2404 and 2412 is 4.

Also check out the Least Common Multiple of 2404 and 2412

Properties of GCF 2404 and 2412

(i) The GCF of 2404 and 2412 is associative

GCF of 2404 and 2412 = GCF of 2412 and 2404

Related Greatest Common Factor of 2404

Related Greatest Common Factor of 2412

Frequently Asked Questions on GCF of 2404 and 2412

1. What is the GCF of 2404 and 2412?

Answer: GCF of 2404 and 2412 is 4.

2. What are the Factors of 2404?

Answer: Factors of 2404 are 1, 2, 4, 601, 1202, 2404. There are 6 integers that are factors of 2404. The greatest factor of 2404 is 2404.

3. What are the Factors of 2412?

Answer: Factors of 2412 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412. There are 18 integers that are factors of 2412. The greatest factor of 2412 is 2412.

4. How to Find the GCF of 2404 and 2412?

Answer:

Greatest Common Factor of 2404 and 2412 = 4

Step 1: Find the prime factorization of 2404

2404 = 2 x 2 x 601

Step 2: Find the prime factorization of 2412

2412 = 2 x 2 x 3 x 3 x 67

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2404 and 2412 is 4