Greatest Common Factor of 1450 and 1454

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, 1454 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1450 and 1454 is 2.

GCF(1450,1454) = 2

GCF of 1450 and 1454

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

GCF of:
and

Greatest Common Factor of 1450 and 1454

GCF of 1450 and 1454 is 2

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 1454


2 1454
727 727
1

Prime factors of 1454 are 2,727. Prime factorization of 1454 in exponential form is:

1454 = 21×7271

∴ So by taking common prime factors GCF of 1450 and 1454 is 2

Greatest Common Factor of 1450 and 1454 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 1454

List of positive integer factors of 1454 that divides 1454 without a remainder.

1,2,727,1454

Greatest Common Factor

We found the factors and prime factorization of 1450 and 1454. The biggest common factor number is the GCF number.
So the greatest common factor 1450 and 1454 is 2.

Also check out the Least Common Multiple of 1450 and 1454

Properties of GCF 1450 and 1454

(i) The GCF of 1450 and 1454 is associative

GCF of 1450 and 1454 = GCF of 1454 and 1450

Related Greatest Common Factor of 1450

Related Greatest Common Factor of 1454

Frequently Asked Questions on GCF of 1450 and 1454

1. What is the GCF of 1450 and 1454?

Answer: GCF of 1450 and 1454 is 2.

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 1454?

Answer: Factors of 1454 are 1, 2, 727, 1454. There are 4 integers that are factors of 1454. The greatest factor of 1454 is 1454.

4. How to Find the GCF of 1450 and 1454?

Answer:

Greatest Common Factor of 1450 and 1454 = 2

Step 1: Find the prime factorization of 1450

1450 = 2 x 5 x 5 x 29

Step 2: Find the prime factorization of 1454

1454 = 2 x 727

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 1450 and 1454 is 2