Greatest Common Factor of 380 and 385

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 380, 385 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 380 and 385 is 5.

GCF(380,385) = 5

GCF of 380 and 385

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

GCF of:
and

Greatest Common Factor of 380 and 385

GCF of 380 and 385 is 5

Prime Factorization of 380


2 380
2 190
5 95
19 19
1

Prime factors of 380 are 2,5,19. Prime factorization of 380 in exponential form is:

380 = 22×51×191

Prime Factorization of 385


5 385
7 77
11 11
1

Prime factors of 385 are 5,7,11. Prime factorization of 385 in exponential form is:

385 = 51×71×111

∴ So by taking common prime factors GCF of 380 and 385 is 5

Greatest Common Factor of 380 and 385 by matching factors method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors and prime factorization of 380 and 385. The biggest common factor number is the GCF number.
So the greatest common factor 380 and 385 is 5.

Also check out the Least Common Multiple of 380 and 385

Properties of GCF 380 and 385

(i) The GCF of 380 and 385 is associative

GCF of 380 and 385 = GCF of 385 and 380

Related Greatest Common Factor of 380

Related Greatest Common Factor of 385

Frequently Asked Questions on GCF of 380 and 385

1. What is the GCF of 380 and 385?

Answer: GCF of 380 and 385 is 5.

2. What are the Factors of 380?

Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.

3. What are the Factors of 385?

Answer: Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385. There are 8 integers that are factors of 385. The greatest factor of 385 is 385.

4. How to Find the GCF of 380 and 385?

Answer:

Greatest Common Factor of 380 and 385 = 5

Step 1: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

Step 2: Find the prime factorization of 385

385 = 5 x 7 x 11

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

GCF = 5

Step 4: Therefore, the greatest common factor of 380 and 385 is 5