Greatest Common Factor of 1446 and 1452

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 1446, 1452 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1446 and 1452 is 6.

GCF(1446,1452) = 6

GCF of 1446 and 1452

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

GCF of:
and

Greatest Common Factor of 1446 and 1452

GCF of 1446 and 1452 is 6

Prime Factorization of 1446


2 1446
3 723
241 241
1

Prime factors of 1446 are 2,3,241. Prime factorization of 1446 in exponential form is:

1446 = 21×31×2411

Prime Factorization of 1452


2 1452
2 726
3 363
11 121
11 11
1

Prime factors of 1452 are 2,3,11. Prime factorization of 1452 in exponential form is:

1452 = 22×31×112

∴ So by taking common prime factors GCF of 1446 and 1452 is 6

Greatest Common Factor of 1446 and 1452 by matching factors method

Factors of 1446

List of positive integer factors of 1446 that divides 1446 without a remainder.

1,2,3,6,241,482,723,1446

Factors of 1452

List of positive integer factors of 1452 that divides 1452 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452

Greatest Common Factor

We found the factors and prime factorization of 1446 and 1452. The biggest common factor number is the GCF number.
So the greatest common factor 1446 and 1452 is 6.

Also check out the Least Common Multiple of 1446 and 1452

Properties of GCF 1446 and 1452

(i) The GCF of 1446 and 1452 is associative

GCF of 1446 and 1452 = GCF of 1452 and 1446

Related Greatest Common Factor of 1446

Related Greatest Common Factor of 1452

Frequently Asked Questions on GCF of 1446 and 1452

1. What is the GCF of 1446 and 1452?

Answer: GCF of 1446 and 1452 is 6.

2. What are the Factors of 1446?

Answer: Factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446. There are 8 integers that are factors of 1446. The greatest factor of 1446 is 1446.

3. What are the Factors of 1452?

Answer: Factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452. There are 18 integers that are factors of 1452. The greatest factor of 1452 is 1452.

4. How to Find the GCF of 1446 and 1452?

Answer:

Greatest Common Factor of 1446 and 1452 = 6

Step 1: Find the prime factorization of 1446

1446 = 2 x 3 x 241

Step 2: Find the prime factorization of 1452

1452 = 2 x 2 x 3 x 11 x 11

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1446 and 1452 is 6