Greatest Common Factor of 368 and 374

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 368, 374 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 368 and 374 is 2.

GCF(368,374) = 2

GCF of 368 and 374

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

GCF of:
and

Greatest Common Factor of 368 and 374

GCF of 368 and 374 is 2

Prime Factorization of 368


2 368
2 184
2 92
2 46
23 23
1

Prime factors of 368 are 2,23. Prime factorization of 368 in exponential form is:

368 = 24×231

Prime Factorization of 374


2 374
11 187
17 17
1

Prime factors of 374 are 2,11,17. Prime factorization of 374 in exponential form is:

374 = 21×111×171

∴ So by taking common prime factors GCF of 368 and 374 is 2

Greatest Common Factor of 368 and 374 by matching factors method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors and prime factorization of 368 and 374. The biggest common factor number is the GCF number.
So the greatest common factor 368 and 374 is 2.

Also check out the Least Common Multiple of 368 and 374

Properties of GCF 368 and 374

(i) The GCF of 368 and 374 is associative

GCF of 368 and 374 = GCF of 374 and 368

Related Greatest Common Factor of 368

Related Greatest Common Factor of 374

Frequently Asked Questions on GCF of 368 and 374

1. What is the GCF of 368 and 374?

Answer: GCF of 368 and 374 is 2.

2. What are the Factors of 368?

Answer: Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. There are 10 integers that are factors of 368. The greatest factor of 368 is 368.

3. What are the Factors of 374?

Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.

4. How to Find the GCF of 368 and 374?

Answer:

Greatest Common Factor of 368 and 374 = 2

Step 1: Find the prime factorization of 368

368 = 2 x 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 374

374 = 2 x 11 x 17

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 368 and 374 is 2