Greatest Common Factor of 362 and 370

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 362, 370 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 362 and 370 is 2.

GCF(362,370) = 2

GCF of 362 and 370

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

GCF of:
and

Greatest Common Factor of 362 and 370

GCF of 362 and 370 is 2

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

Prime Factorization of 370


2 370
5 185
37 37
1

Prime factors of 370 are 2,5,37. Prime factorization of 370 in exponential form is:

370 = 21×51×371

∴ So by taking common prime factors GCF of 362 and 370 is 2

Greatest Common Factor of 362 and 370 by matching factors method

Factors of 362

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

1,2,181,362

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors and prime factorization of 362 and 370. The biggest common factor number is the GCF number.
So the greatest common factor 362 and 370 is 2.

Also check out the Least Common Multiple of 362 and 370

Properties of GCF 362 and 370

(i) The GCF of 362 and 370 is associative

GCF of 362 and 370 = GCF of 370 and 362

Related Greatest Common Factor of 362

Related Greatest Common Factor of 370

Frequently Asked Questions on GCF of 362 and 370

1. What is the GCF of 362 and 370?

Answer: GCF of 362 and 370 is 2.

2. 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.

3. What are the Factors of 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

4. How to Find the GCF of 362 and 370?

Answer:

Greatest Common Factor of 362 and 370 = 2

Step 1: Find the prime factorization of 362

362 = 2 x 181

Step 2: Find the prime factorization of 370

370 = 2 x 5 x 37

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 362 and 370 is 2