Greatest Common Factor of 4384 and 4392

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 4384, 4392 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4384 and 4392 is 8.

GCF(4384,4392) = 8

GCF of 4384 and 4392

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

GCF of:
and

Greatest Common Factor of 4384 and 4392

GCF of 4384 and 4392 is 8

Prime Factorization of 4384


2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 4384 are 2,137. Prime factorization of 4384 in exponential form is:

4384 = 25×1371

Prime Factorization of 4392


2 4392
2 2196
2 1098
3 549
3 183
61 61
1

Prime factors of 4392 are 2,3,61. Prime factorization of 4392 in exponential form is:

4392 = 23×32×611

∴ So by taking common prime factors GCF of 4384 and 4392 is 8

Greatest Common Factor of 4384 and 4392 by matching factors method

Factors of 4384

List of positive integer factors of 4384 that divides 4384 without a remainder.

1,2,4,8,16,32,137,274,548,1096,2192,4384

Factors of 4392

List of positive integer factors of 4392 that divides 4392 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392

Greatest Common Factor

We found the factors and prime factorization of 4384 and 4392. The biggest common factor number is the GCF number.
So the greatest common factor 4384 and 4392 is 8.

Also check out the Least Common Multiple of 4384 and 4392

Properties of GCF 4384 and 4392

(i) The GCF of 4384 and 4392 is associative

GCF of 4384 and 4392 = GCF of 4392 and 4384

Related Greatest Common Factor of 4384

Related Greatest Common Factor of 4392

Frequently Asked Questions on GCF of 4384 and 4392

1. What is the GCF of 4384 and 4392?

Answer: GCF of 4384 and 4392 is 8.

2. What are the Factors of 4384?

Answer: Factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384. There are 12 integers that are factors of 4384. The greatest factor of 4384 is 4384.

3. What are the Factors of 4392?

Answer: Factors of 4392 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 61, 72, 122, 183, 244, 366, 488, 549, 732, 1098, 1464, 2196, 4392. There are 24 integers that are factors of 4392. The greatest factor of 4392 is 4392.

4. How to Find the GCF of 4384 and 4392?

Answer:

Greatest Common Factor of 4384 and 4392 = 8

Step 1: Find the prime factorization of 4384

4384 = 2 x 2 x 2 x 2 x 2 x 137

Step 2: Find the prime factorization of 4392

4392 = 2 x 2 x 2 x 3 x 3 x 61

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4384 and 4392 is 8