Greatest Common Factor of 368 and 373

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, 373 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 368 and 373 is 1.

GCF(368,373) = 1

GCF of 368 and 373

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

GCF of:
and

Greatest Common Factor of 368 and 373

GCF of 368 and 373 is 1

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 373


373 373
1

Prime factors of 373 are 373. Prime factorization of 373 in exponential form is:

373 = 3731

∴ So by taking common prime factors GCF of 368 and 373 is 1

Greatest Common Factor of 368 and 373 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 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors and prime factorization of 368 and 373. The biggest common factor number is the GCF number.
So the greatest common factor 368 and 373 is 1.

Also check out the Least Common Multiple of 368 and 373

Properties of GCF 368 and 373

(i) The GCF of 368 and 373 is associative

GCF of 368 and 373 = GCF of 373 and 368

Related Greatest Common Factor of 368

Related Greatest Common Factor of 373

Frequently Asked Questions on GCF of 368 and 373

1. What is the GCF of 368 and 373?

Answer: GCF of 368 and 373 is 1.

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 373?

Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.

4. How to Find the GCF of 368 and 373?

Answer:

Greatest Common Factor of 368 and 373 = 1

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 373

373 = 373

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 368 and 373 is 1