Greatest Common Factor of 2448 and 2451

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, 2451 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2448 and 2451 is 3.

GCF(2448,2451) = 3

GCF of 2448 and 2451

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

GCF of:
and

Greatest Common Factor of 2448 and 2451

GCF of 2448 and 2451 is 3

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 2451


3 2451
19 817
43 43
1

Prime factors of 2451 are 3,19,43. Prime factorization of 2451 in exponential form is:

2451 = 31×191×431

∴ So by taking common prime factors GCF of 2448 and 2451 is 3

Greatest Common Factor of 2448 and 2451 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 2451

List of positive integer factors of 2451 that divides 2451 without a remainder.

1,3,19,43,57,129,817,2451

Greatest Common Factor

We found the factors and prime factorization of 2448 and 2451. The biggest common factor number is the GCF number.
So the greatest common factor 2448 and 2451 is 3.

Also check out the Least Common Multiple of 2448 and 2451

Properties of GCF 2448 and 2451

(i) The GCF of 2448 and 2451 is associative

GCF of 2448 and 2451 = GCF of 2451 and 2448

Related Greatest Common Factor of 2448

Related Greatest Common Factor of 2451

Frequently Asked Questions on GCF of 2448 and 2451

1. What is the GCF of 2448 and 2451?

Answer: GCF of 2448 and 2451 is 3.

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 2451?

Answer: Factors of 2451 are 1, 3, 19, 43, 57, 129, 817, 2451. There are 8 integers that are factors of 2451. The greatest factor of 2451 is 2451.

4. How to Find the GCF of 2448 and 2451?

Answer:

Greatest Common Factor of 2448 and 2451 = 3

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 2451

2451 = 3 x 19 x 43

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2448 and 2451 is 3