Greatest Common Factor of 1350 and 1354

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 1350, 1354 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1350 and 1354 is 2.

GCF(1350,1354) = 2

GCF of 1350 and 1354

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

GCF of:
and

Greatest Common Factor of 1350 and 1354

GCF of 1350 and 1354 is 2

Prime Factorization of 1350


2 1350
3 675
3 225
3 75
5 25
5 5
1

Prime factors of 1350 are 2,3,5. Prime factorization of 1350 in exponential form is:

1350 = 21×33×52

Prime Factorization of 1354


2 1354
677 677
1

Prime factors of 1354 are 2,677. Prime factorization of 1354 in exponential form is:

1354 = 21×6771

∴ So by taking common prime factors GCF of 1350 and 1354 is 2

Greatest Common Factor of 1350 and 1354 by matching factors method

Factors of 1350

List of positive integer factors of 1350 that divides 1350 without a remainder.

1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350

Factors of 1354

List of positive integer factors of 1354 that divides 1354 without a remainder.

1,2,677,1354

Greatest Common Factor

We found the factors and prime factorization of 1350 and 1354. The biggest common factor number is the GCF number.
So the greatest common factor 1350 and 1354 is 2.

Also check out the Least Common Multiple of 1350 and 1354

Properties of GCF 1350 and 1354

(i) The GCF of 1350 and 1354 is associative

GCF of 1350 and 1354 = GCF of 1354 and 1350

Related Greatest Common Factor of 1350

Related Greatest Common Factor of 1354

Frequently Asked Questions on GCF of 1350 and 1354

1. What is the GCF of 1350 and 1354?

Answer: GCF of 1350 and 1354 is 2.

2. What are the Factors of 1350?

Answer: Factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350. There are 24 integers that are factors of 1350. The greatest factor of 1350 is 1350.

3. What are the Factors of 1354?

Answer: Factors of 1354 are 1, 2, 677, 1354. There are 4 integers that are factors of 1354. The greatest factor of 1354 is 1354.

4. How to Find the GCF of 1350 and 1354?

Answer:

Greatest Common Factor of 1350 and 1354 = 2

Step 1: Find the prime factorization of 1350

1350 = 2 x 3 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 1354

1354 = 2 x 677

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 1350 and 1354 is 2