Greatest Common Factor of 377 and 384

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 377, 384 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 377 and 384 is 1.

GCF(377,384) = 1

GCF of 377 and 384

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

GCF of:
and

Greatest Common Factor of 377 and 384

GCF of 377 and 384 is 1

Prime Factorization of 377


13 377
29 29
1

Prime factors of 377 are 13,29. Prime factorization of 377 in exponential form is:

377 = 131×291

Prime Factorization of 384


2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 384 are 2,3. Prime factorization of 384 in exponential form is:

384 = 27×31

∴ So by taking common prime factors GCF of 377 and 384 is 1

Greatest Common Factor of 377 and 384 by matching factors method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors and prime factorization of 377 and 384. The biggest common factor number is the GCF number.
So the greatest common factor 377 and 384 is 1.

Also check out the Least Common Multiple of 377 and 384

Properties of GCF 377 and 384

(i) The GCF of 377 and 384 is associative

GCF of 377 and 384 = GCF of 384 and 377

Related Greatest Common Factor of 377

Related Greatest Common Factor of 384

Frequently Asked Questions on GCF of 377 and 384

1. What is the GCF of 377 and 384?

Answer: GCF of 377 and 384 is 1.

2. What are the Factors of 377?

Answer: Factors of 377 are 1, 13, 29, 377. There are 4 integers that are factors of 377. The greatest factor of 377 is 377.

3. What are the Factors of 384?

Answer: Factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384. There are 16 integers that are factors of 384. The greatest factor of 384 is 384.

4. How to Find the GCF of 377 and 384?

Answer:

Greatest Common Factor of 377 and 384 = 1

Step 1: Find the prime factorization of 377

377 = 13 x 29

Step 2: Find the prime factorization of 384

384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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 377 and 384 is 1