Greatest Common Factor of 1450 and 1455

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 1450, 1455 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1450 and 1455 is 5.

GCF(1450,1455) = 5

GCF of 1450 and 1455

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

GCF of:
and

Greatest Common Factor of 1450 and 1455

GCF of 1450 and 1455 is 5

Prime Factorization of 1450


2 1450
5 725
5 145
29 29
1

Prime factors of 1450 are 2,5,29. Prime factorization of 1450 in exponential form is:

1450 = 21×52×291

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

∴ So by taking common prime factors GCF of 1450 and 1455 is 5

Greatest Common Factor of 1450 and 1455 by matching factors method

Factors of 1450

List of positive integer factors of 1450 that divides 1450 without a remainder.

1,2,5,10,25,29,50,58,145,290,725,1450

Factors of 1455

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

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

Greatest Common Factor

We found the factors and prime factorization of 1450 and 1455. The biggest common factor number is the GCF number.
So the greatest common factor 1450 and 1455 is 5.

Also check out the Least Common Multiple of 1450 and 1455

Properties of GCF 1450 and 1455

(i) The GCF of 1450 and 1455 is associative

GCF of 1450 and 1455 = GCF of 1455 and 1450

Related Greatest Common Factor of 1450

Related Greatest Common Factor of 1455

Frequently Asked Questions on GCF of 1450 and 1455

1. What is the GCF of 1450 and 1455?

Answer: GCF of 1450 and 1455 is 5.

2. What are the Factors of 1450?

Answer: Factors of 1450 are 1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 1450. There are 12 integers that are factors of 1450. The greatest factor of 1450 is 1450.

3. 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.

4. How to Find the GCF of 1450 and 1455?

Answer:

Greatest Common Factor of 1450 and 1455 = 5

Step 1: Find the prime factorization of 1450

1450 = 2 x 5 x 5 x 29

Step 2: Find the prime factorization of 1455

1455 = 3 x 5 x 97

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 1450 and 1455 is 5