Greatest Common Factor of 1445 and 1446

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 1445, 1446 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1445 and 1446 is 1.

GCF(1445,1446) = 1

GCF of 1445 and 1446

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

GCF of:
and

Greatest Common Factor of 1445 and 1446

GCF of 1445 and 1446 is 1

Prime Factorization of 1445


5 1445
17 289
17 17
1

Prime factors of 1445 are 5,17. Prime factorization of 1445 in exponential form is:

1445 = 51×172

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

∴ So by taking common prime factors GCF of 1445 and 1446 is 1

Greatest Common Factor of 1445 and 1446 by matching factors method

Factors of 1445

List of positive integer factors of 1445 that divides 1445 without a remainder.

1,5,17,85,289,1445

Factors of 1446

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

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

Greatest Common Factor

We found the factors and prime factorization of 1445 and 1446. The biggest common factor number is the GCF number.
So the greatest common factor 1445 and 1446 is 1.

Also check out the Least Common Multiple of 1445 and 1446

Properties of GCF 1445 and 1446

(i) The GCF of 1445 and 1446 is associative

GCF of 1445 and 1446 = GCF of 1446 and 1445

Related Greatest Common Factor of 1445

Related Greatest Common Factor of 1446

Frequently Asked Questions on GCF of 1445 and 1446

1. What is the GCF of 1445 and 1446?

Answer: GCF of 1445 and 1446 is 1.

2. What are the Factors of 1445?

Answer: Factors of 1445 are 1, 5, 17, 85, 289, 1445. There are 6 integers that are factors of 1445. The greatest factor of 1445 is 1445.

3. 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.

4. How to Find the GCF of 1445 and 1446?

Answer:

Greatest Common Factor of 1445 and 1446 = 1

Step 1: Find the prime factorization of 1445

1445 = 5 x 17 x 17

Step 2: Find the prime factorization of 1446

1446 = 2 x 3 x 241

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1445 and 1446 is 1