Greatest Common Factor of 1455 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 1455, 1460 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1455 and 1460 is 5.

GCF(1455,1460) = 5

GCF of 1455 and 1460

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

GCF of:
and

Greatest Common Factor of 1455 and 1460

GCF of 1455 and 1460 is 5

Prime Factorization of 1455


3 1455
5 485
97 97
1

Prime factors of 1455 are 3,5,97. Prime factorization of 1455 in exponential form is:

1455 = 31×51×971

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 1455 and 1460 is 5

Greatest Common Factor of 1455 and 1460 by matching factors method

Factors of 1455

List of positive integer factors of 1455 that divides 1455 without a remainder.

1,3,5,15,97,291,485,1455

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 1455 and 1460. The biggest common factor number is the GCF number.
So the greatest common factor 1455 and 1460 is 5.

Also check out the Least Common Multiple of 1455 and 1460

Properties of GCF 1455 and 1460

(i) The GCF of 1455 and 1460 is associative

GCF of 1455 and 1460 = GCF of 1460 and 1455

Related Greatest Common Factor of 1455

Related Greatest Common Factor of 1460

Frequently Asked Questions on GCF of 1455 and 1460

1. What is the GCF of 1455 and 1460?

Answer: GCF of 1455 and 1460 is 5.

2. What are the Factors of 1455?

Answer: Factors of 1455 are 1, 3, 5, 15, 97, 291, 485, 1455. There are 8 integers that are factors of 1455. The greatest factor of 1455 is 1455.

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 1455 and 1460?

Answer:

Greatest Common Factor of 1455 and 1460 = 5

Step 1: Find the prime factorization of 1455

1455 = 3 x 5 x 97

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 = 5

Step 4: Therefore, the greatest common factor of 1455 and 1460 is 5