Greatest Common Factor of 354 and 362

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 354, 362 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 354 and 362 is 2.

GCF(354,362) = 2

GCF of 354 and 362

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

GCF of:
and

Greatest Common Factor of 354 and 362

GCF of 354 and 362 is 2

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

Prime Factorization of 362


2 362
181 181
1

Prime factors of 362 are 2,181. Prime factorization of 362 in exponential form is:

362 = 21×1811

∴ So by taking common prime factors GCF of 354 and 362 is 2

Greatest Common Factor of 354 and 362 by matching factors method

Factors of 354

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

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

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors and prime factorization of 354 and 362. The biggest common factor number is the GCF number.
So the greatest common factor 354 and 362 is 2.

Also check out the Least Common Multiple of 354 and 362

Properties of GCF 354 and 362

(i) The GCF of 354 and 362 is associative

GCF of 354 and 362 = GCF of 362 and 354

Related Greatest Common Factor of 354

Related Greatest Common Factor of 362

Frequently Asked Questions on GCF of 354 and 362

1. What is the GCF of 354 and 362?

Answer: GCF of 354 and 362 is 2.

2. 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.

3. What are the Factors of 362?

Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.

4. How to Find the GCF of 354 and 362?

Answer:

Greatest Common Factor of 354 and 362 = 2

Step 1: Find the prime factorization of 354

354 = 2 x 3 x 59

Step 2: Find the prime factorization of 362

362 = 2 x 181

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 354 and 362 is 2