Greatest Common Factor of 385 and 392

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 385, 392 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 385 and 392 is 7.

GCF(385,392) = 7

GCF of 385 and 392

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

GCF of:
and

Greatest Common Factor of 385 and 392

GCF of 385 and 392 is 7

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

Prime Factorization of 392


2 392
2 196
2 98
7 49
7 7
1

Prime factors of 392 are 2,7. Prime factorization of 392 in exponential form is:

392 = 23×72

∴ So by taking common prime factors GCF of 385 and 392 is 7

Greatest Common Factor of 385 and 392 by matching factors method

Factors of 385

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

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

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors and prime factorization of 385 and 392. The biggest common factor number is the GCF number.
So the greatest common factor 385 and 392 is 7.

Also check out the Least Common Multiple of 385 and 392

Properties of GCF 385 and 392

(i) The GCF of 385 and 392 is associative

GCF of 385 and 392 = GCF of 392 and 385

Related Greatest Common Factor of 385

Related Greatest Common Factor of 392

Frequently Asked Questions on GCF of 385 and 392

1. What is the GCF of 385 and 392?

Answer: GCF of 385 and 392 is 7.

2. 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.

3. What are the Factors of 392?

Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.

4. How to Find the GCF of 385 and 392?

Answer:

Greatest Common Factor of 385 and 392 = 7

Step 1: Find the prime factorization of 385

385 = 5 x 7 x 11

Step 2: Find the prime factorization of 392

392 = 2 x 2 x 2 x 7 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 385 and 392 is 7