Greatest Common Factor of 350 and 354

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 350, 354 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 350 and 354 is 2.

GCF(350,354) = 2

GCF of 350 and 354

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

GCF of:
and

Greatest Common Factor of 350 and 354

GCF of 350 and 354 is 2

Prime Factorization of 350


2 350
5 175
5 35
7 7
1

Prime factors of 350 are 2,5,7. Prime factorization of 350 in exponential form is:

350 = 21×52×71

Prime Factorization of 354


2 354
3 177
59 59
1

Prime factors of 354 are 2,3,59. Prime factorization of 354 in exponential form is:

354 = 21×31×591

∴ So by taking common prime factors GCF of 350 and 354 is 2

Greatest Common Factor of 350 and 354 by matching factors method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors and prime factorization of 350 and 354. The biggest common factor number is the GCF number.
So the greatest common factor 350 and 354 is 2.

Also check out the Least Common Multiple of 350 and 354

Properties of GCF 350 and 354

(i) The GCF of 350 and 354 is associative

GCF of 350 and 354 = GCF of 354 and 350

Related Greatest Common Factor of 350

Related Greatest Common Factor of 354

Frequently Asked Questions on GCF of 350 and 354

1. What is the GCF of 350 and 354?

Answer: GCF of 350 and 354 is 2.

2. What are the Factors of 350?

Answer: Factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. There are 12 integers that are factors of 350. The greatest factor of 350 is 350.

3. What are the Factors of 354?

Answer: Factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354. There are 8 integers that are factors of 354. The greatest factor of 354 is 354.

4. How to Find the GCF of 350 and 354?

Answer:

Greatest Common Factor of 350 and 354 = 2

Step 1: Find the prime factorization of 350

350 = 2 x 5 x 5 x 7

Step 2: Find the prime factorization of 354

354 = 2 x 3 x 59

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 350 and 354 is 2