Greatest Common Factor of 1460 and 1466

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 1460, 1466 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1460 and 1466 is 2.

GCF(1460,1466) = 2

GCF of 1460 and 1466

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

GCF of:
and

Greatest Common Factor of 1460 and 1466

GCF of 1460 and 1466 is 2

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

Prime Factorization of 1466


2 1466
733 733
1

Prime factors of 1466 are 2,733. Prime factorization of 1466 in exponential form is:

1466 = 21×7331

∴ So by taking common prime factors GCF of 1460 and 1466 is 2

Greatest Common Factor of 1460 and 1466 by matching factors method

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

Factors of 1466

List of positive integer factors of 1466 that divides 1466 without a remainder.

1,2,733,1466

Greatest Common Factor

We found the factors and prime factorization of 1460 and 1466. The biggest common factor number is the GCF number.
So the greatest common factor 1460 and 1466 is 2.

Also check out the Least Common Multiple of 1460 and 1466

Properties of GCF 1460 and 1466

(i) The GCF of 1460 and 1466 is associative

GCF of 1460 and 1466 = GCF of 1466 and 1460

Related Greatest Common Factor of 1460

Related Greatest Common Factor of 1466

Frequently Asked Questions on GCF of 1460 and 1466

1. What is the GCF of 1460 and 1466?

Answer: GCF of 1460 and 1466 is 2.

2. 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.

3. What are the Factors of 1466?

Answer: Factors of 1466 are 1, 2, 733, 1466. There are 4 integers that are factors of 1466. The greatest factor of 1466 is 1466.

4. How to Find the GCF of 1460 and 1466?

Answer:

Greatest Common Factor of 1460 and 1466 = 2

Step 1: Find the prime factorization of 1460

1460 = 2 x 2 x 5 x 73

Step 2: Find the prime factorization of 1466

1466 = 2 x 733

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1460 and 1466 is 2