Greatest Common Factor of 1448 and 1456

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 1448, 1456 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1448 and 1456 is 8.

GCF(1448,1456) = 8

GCF of 1448 and 1456

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

GCF of:
and

Greatest Common Factor of 1448 and 1456

GCF of 1448 and 1456 is 8

Prime Factorization of 1448


2 1448
2 724
2 362
181 181
1

Prime factors of 1448 are 2,181. Prime factorization of 1448 in exponential form is:

1448 = 23×1811

Prime Factorization of 1456


2 1456
2 728
2 364
2 182
7 91
13 13
1

Prime factors of 1456 are 2,7,13. Prime factorization of 1456 in exponential form is:

1456 = 24×71×131

∴ So by taking common prime factors GCF of 1448 and 1456 is 8

Greatest Common Factor of 1448 and 1456 by matching factors method

Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1,2,4,8,181,362,724,1448

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456

Greatest Common Factor

We found the factors and prime factorization of 1448 and 1456. The biggest common factor number is the GCF number.
So the greatest common factor 1448 and 1456 is 8.

Also check out the Least Common Multiple of 1448 and 1456

Properties of GCF 1448 and 1456

(i) The GCF of 1448 and 1456 is associative

GCF of 1448 and 1456 = GCF of 1456 and 1448

Related Greatest Common Factor of 1448

Related Greatest Common Factor of 1456

Frequently Asked Questions on GCF of 1448 and 1456

1. What is the GCF of 1448 and 1456?

Answer: GCF of 1448 and 1456 is 8.

2. What are the Factors of 1448?

Answer: Factors of 1448 are 1, 2, 4, 8, 181, 362, 724, 1448. There are 8 integers that are factors of 1448. The greatest factor of 1448 is 1448.

3. What are the Factors of 1456?

Answer: Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456. There are 20 integers that are factors of 1456. The greatest factor of 1456 is 1456.

4. How to Find the GCF of 1448 and 1456?

Answer:

Greatest Common Factor of 1448 and 1456 = 8

Step 1: Find the prime factorization of 1448

1448 = 2 x 2 x 2 x 181

Step 2: Find the prime factorization of 1456

1456 = 2 x 2 x 2 x 2 x 7 x 13

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1448 and 1456 is 8