Greatest Common Factor of 364 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 364, 370 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 364 and 370 is 2.

GCF(364,370) = 2

GCF of 364 and 370

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

GCF of:
and

Greatest Common Factor of 364 and 370

GCF of 364 and 370 is 2

Prime Factorization of 364


2 364
2 182
7 91
13 13
1

Prime factors of 364 are 2,7,13. Prime factorization of 364 in exponential form is:

364 = 22×71×131

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 364 and 370 is 2

Greatest Common Factor of 364 and 370 by matching factors method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

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 364 and 370. The biggest common factor number is the GCF number.
So the greatest common factor 364 and 370 is 2.

Also check out the Least Common Multiple of 364 and 370

Properties of GCF 364 and 370

(i) The GCF of 364 and 370 is associative

GCF of 364 and 370 = GCF of 370 and 364

Related Greatest Common Factor of 364

Related Greatest Common Factor of 370

Frequently Asked Questions on GCF of 364 and 370

1. What is the GCF of 364 and 370?

Answer: GCF of 364 and 370 is 2.

2. What are the Factors of 364?

Answer: Factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. There are 12 integers that are factors of 364. The greatest factor of 364 is 364.

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 364 and 370?

Answer:

Greatest Common Factor of 364 and 370 = 2

Step 1: Find the prime factorization of 364

364 = 2 x 2 x 7 x 13

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 364 and 370 is 2