Greatest Common Factor of 1456 and 1460

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 1456, 1460 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1456 and 1460 is 4.

GCF(1456,1460) = 4

GCF of 1456 and 1460

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

GCF of:
and

Greatest Common Factor of 1456 and 1460

GCF of 1456 and 1460 is 4

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

Prime Factorization of 1460


2 1460
2 730
5 365
73 73
1

Prime factors of 1460 are 2,5,73. Prime factorization of 1460 in exponential form is:

1460 = 22×51×731

∴ So by taking common prime factors GCF of 1456 and 1460 is 4

Greatest Common Factor of 1456 and 1460 by matching factors method

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

Factors of 1460

List of positive integer factors of 1460 that divides 1460 without a remainder.

1,2,4,5,10,20,73,146,292,365,730,1460

Greatest Common Factor

We found the factors and prime factorization of 1456 and 1460. The biggest common factor number is the GCF number.
So the greatest common factor 1456 and 1460 is 4.

Also check out the Least Common Multiple of 1456 and 1460

Properties of GCF 1456 and 1460

(i) The GCF of 1456 and 1460 is associative

GCF of 1456 and 1460 = GCF of 1460 and 1456

Related Greatest Common Factor of 1456

Related Greatest Common Factor of 1460

Frequently Asked Questions on GCF of 1456 and 1460

1. What is the GCF of 1456 and 1460?

Answer: GCF of 1456 and 1460 is 4.

2. 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.

3. What are the Factors of 1460?

Answer: Factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460. There are 12 integers that are factors of 1460. The greatest factor of 1460 is 1460.

4. How to Find the GCF of 1456 and 1460?

Answer:

Greatest Common Factor of 1456 and 1460 = 4

Step 1: Find the prime factorization of 1456

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

Step 2: Find the prime factorization of 1460

1460 = 2 x 2 x 5 x 73

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 1456 and 1460 is 4