Greatest Common Factor of 1466 and 1472

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 1466, 1472 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1466 and 1472 is 2.

GCF(1466,1472) = 2

GCF of 1466 and 1472

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

GCF of:
and

Greatest Common Factor of 1466 and 1472

GCF of 1466 and 1472 is 2

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

Prime Factorization of 1472


2 1472
2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 1472 are 2,23. Prime factorization of 1472 in exponential form is:

1472 = 26×231

∴ So by taking common prime factors GCF of 1466 and 1472 is 2

Greatest Common Factor of 1466 and 1472 by matching factors method

Factors of 1466

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

1,2,733,1466

Factors of 1472

List of positive integer factors of 1472 that divides 1472 without a remainder.

1,2,4,8,16,23,32,46,64,92,184,368,736,1472

Greatest Common Factor

We found the factors and prime factorization of 1466 and 1472. The biggest common factor number is the GCF number.
So the greatest common factor 1466 and 1472 is 2.

Also check out the Least Common Multiple of 1466 and 1472

Properties of GCF 1466 and 1472

(i) The GCF of 1466 and 1472 is associative

GCF of 1466 and 1472 = GCF of 1472 and 1466

Related Greatest Common Factor of 1466

Related Greatest Common Factor of 1472

Frequently Asked Questions on GCF of 1466 and 1472

1. What is the GCF of 1466 and 1472?

Answer: GCF of 1466 and 1472 is 2.

2. 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.

3. What are the Factors of 1472?

Answer: Factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472. There are 14 integers that are factors of 1472. The greatest factor of 1472 is 1472.

4. How to Find the GCF of 1466 and 1472?

Answer:

Greatest Common Factor of 1466 and 1472 = 2

Step 1: Find the prime factorization of 1466

1466 = 2 x 733

Step 2: Find the prime factorization of 1472

1472 = 2 x 2 x 2 x 2 x 2 x 2 x 23

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 1466 and 1472 is 2