Greatest Common Factor of 2448 and 2452

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 2448, 2452 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2448 and 2452 is 4.

GCF(2448,2452) = 4

GCF of 2448 and 2452

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

GCF of:
and

Greatest Common Factor of 2448 and 2452

GCF of 2448 and 2452 is 4

Prime Factorization of 2448


2 2448
2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 2448 are 2,3,17. Prime factorization of 2448 in exponential form is:

2448 = 24×32×171

Prime Factorization of 2452


2 2452
2 1226
613 613
1

Prime factors of 2452 are 2,613. Prime factorization of 2452 in exponential form is:

2452 = 22×6131

∴ So by taking common prime factors GCF of 2448 and 2452 is 4

Greatest Common Factor of 2448 and 2452 by matching factors method

Factors of 2448

List of positive integer factors of 2448 that divides 2448 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,34,36,48,51,68,72,102,136,144,153,204,272,306,408,612,816,1224,2448

Factors of 2452

List of positive integer factors of 2452 that divides 2452 without a remainder.

1,2,4,613,1226,2452

Greatest Common Factor

We found the factors and prime factorization of 2448 and 2452. The biggest common factor number is the GCF number.
So the greatest common factor 2448 and 2452 is 4.

Also check out the Least Common Multiple of 2448 and 2452

Properties of GCF 2448 and 2452

(i) The GCF of 2448 and 2452 is associative

GCF of 2448 and 2452 = GCF of 2452 and 2448

Related Greatest Common Factor of 2448

Related Greatest Common Factor of 2452

Frequently Asked Questions on GCF of 2448 and 2452

1. What is the GCF of 2448 and 2452?

Answer: GCF of 2448 and 2452 is 4.

2. What are the Factors of 2448?

Answer: Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448. There are 30 integers that are factors of 2448. The greatest factor of 2448 is 2448.

3. What are the Factors of 2452?

Answer: Factors of 2452 are 1, 2, 4, 613, 1226, 2452. There are 6 integers that are factors of 2452. The greatest factor of 2452 is 2452.

4. How to Find the GCF of 2448 and 2452?

Answer:

Greatest Common Factor of 2448 and 2452 = 4

Step 1: Find the prime factorization of 2448

2448 = 2 x 2 x 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 2452

2452 = 2 x 2 x 613

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 2448 and 2452 is 4